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Finding the Third Proportional to 5,861,125,666,967.40 and 8,867,070,607,415.40

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Solution

The third proportional to 5,861,125,666,967.40 and 8,867,070,607,415.40 is: 13,414,648,588,753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,861,125,666,967.40 : 8,867,070,607,415.40 = 8,867,070,607,415.40 : x
  2. Step 2: Convert to fraction form
    5,861,125,666,967.40/8,867,070,607,415.40 = 8,867,070,607,415.40/x
  3. Step 3: Cross multiply
    5,861,125,666,967.40x = 8,867,070,607,415.40 × 8,867,070,607,415.40
  4. Step 4: Simplify right side
    5,861,125,666,967.40x = 78,624,941,156,890,121,645,064,192
  5. Step 5: Solve for x
    x = 78,624,941,156,890,121,645,064,192/5,861,125,666,967.40
  6. Step 6: Final answer
    x = 13,414,648,588,753.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.