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Finding the Third Proportional to 29,223,109 and 63,532,653

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Solution

The third proportional to 29,223,109 and 63,532,653 is: 138,123,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223,109 : 63,532,653 = 63,532,653 : x
  2. Step 2: Convert to fraction form
    29,223,109/63,532,653 = 63,532,653/x
  3. Step 3: Cross multiply
    29,223,109x = 63,532,653 × 63,532,653
  4. Step 4: Simplify right side
    29,223,109x = 4,036,397,997,218,409
  5. Step 5: Solve for x
    x = 4,036,397,997,218,409/29,223,109
  6. Step 6: Final answer
    x = 138,123,496.62

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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.