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Finding the Third Proportional to 13,442,702 and 29,498,140

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Solution

The third proportional to 13,442,702 and 29,498,140 is: 64,729,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,442,702 : 29,498,140 = 29,498,140 : x
  2. Step 2: Convert to fraction form
    13,442,702/29,498,140 = 29,498,140/x
  3. Step 3: Cross multiply
    13,442,702x = 29,498,140 × 29,498,140
  4. Step 4: Simplify right side
    13,442,702x = 870,140,263,459,600
  5. Step 5: Solve for x
    x = 870,140,263,459,600/13,442,702
  6. Step 6: Final answer
    x = 64,729,565.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.