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Finding the Third Proportional to 29,223,106.59 and 63,532,648.69

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Solution

The third proportional to 29,223,106.59 and 63,532,648.69 is: 138,123,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,223,106.59 : 63,532,648.69 = 63,532,648.69 : x
  2. Step 2: Convert to fraction form
    29,223,106.59/63,532,648.69 = 63,532,648.69/x
  3. Step 3: Cross multiply
    29,223,106.59x = 63,532,648.69 × 63,532,648.69
  4. Step 4: Simplify right side
    29,223,106.59x = 4,036,397,449,249,295.50
  5. Step 5: Solve for x
    x = 4,036,397,449,249,295.50/29,223,106.59
  6. Step 6: Final answer
    x = 138,123,489.24

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