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Finding the Third Proportional to 8,461,599 and 12,712,599

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Solution

The third proportional to 8,461,599 and 12,712,599 is: 19,099,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461,599 : 12,712,599 = 12,712,599 : x
  2. Step 2: Convert to fraction form
    8,461,599/12,712,599 = 12,712,599/x
  3. Step 3: Cross multiply
    8,461,599x = 12,712,599 × 12,712,599
  4. Step 4: Simplify right side
    8,461,599x = 161,610,173,334,801
  5. Step 5: Solve for x
    x = 161,610,173,334,801/8,461,599
  6. Step 6: Final answer
    x = 19,099,247.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.