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Finding the Third Proportional to 13,974,524 and 22,221,516

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Solution

The third proportional to 13,974,524 and 22,221,516 is: 35,335,427.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974,524 : 22,221,516 = 22,221,516 : x
  2. Step 2: Convert to fraction form
    13,974,524/22,221,516 = 22,221,516/x
  3. Step 3: Cross multiply
    13,974,524x = 22,221,516 × 22,221,516
  4. Step 4: Simplify right side
    13,974,524x = 493,795,773,338,256
  5. Step 5: Solve for x
    x = 493,795,773,338,256/13,974,524
  6. Step 6: Final answer
    x = 35,335,427.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.