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Finding the Third Proportional to 710,499,660,912 and 1,551,196,783,296

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Solution

The third proportional to 710,499,660,912 and 1,551,196,783,296 is: 3,386,646,880,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,499,660,912 : 1,551,196,783,296 = 1,551,196,783,296 : x
  2. Step 2: Convert to fraction form
    710,499,660,912/1,551,196,783,296 = 1,551,196,783,296/x
  3. Step 3: Cross multiply
    710,499,660,912x = 1,551,196,783,296 × 1,551,196,783,296
  4. Step 4: Simplify right side
    710,499,660,912x = 2,406,211,460,507,857,605,099,520
  5. Step 5: Solve for x
    x = 2,406,211,460,507,857,605,099,520/710,499,660,912
  6. Step 6: Final answer
    x = 3,386,646,880,899.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.