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Finding the Third Proportional to 29,572,624.13 and 64,711,164.94

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Solution

The third proportional to 29,572,624.13 and 64,711,164.94 is: 141,601,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,572,624.13 : 64,711,164.94 = 64,711,164.94 : x
  2. Step 2: Convert to fraction form
    29,572,624.13/64,711,164.94 = 64,711,164.94/x
  3. Step 3: Cross multiply
    29,572,624.13x = 64,711,164.94 × 64,711,164.94
  4. Step 4: Simplify right side
    29,572,624.13x = 4,187,534,867,568,329.50
  5. Step 5: Solve for x
    x = 4,187,534,867,568,329.50/29,572,624.13
  6. Step 6: Final answer
    x = 141,601,734.42

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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.