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Finding the Third Proportional to 13,793,598 and 29,974,860

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Solution

The third proportional to 13,793,598 and 29,974,860 is: 65,138,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793,598 : 29,974,860 = 29,974,860 : x
  2. Step 2: Convert to fraction form
    13,793,598/29,974,860 = 29,974,860/x
  3. Step 3: Cross multiply
    13,793,598x = 29,974,860 × 29,974,860
  4. Step 4: Simplify right side
    13,793,598x = 898,492,232,019,600
  5. Step 5: Solve for x
    x = 898,492,232,019,600/13,793,598
  6. Step 6: Final answer
    x = 65,138,351.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.