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Finding the Third Proportional to 29,573,877 and 64,713,425

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Solution

The third proportional to 29,573,877 and 64,713,425 is: 141,605,626.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,573,877 : 64,713,425 = 64,713,425 : x
  2. Step 2: Convert to fraction form
    29,573,877/64,713,425 = 64,713,425/x
  3. Step 3: Cross multiply
    29,573,877x = 64,713,425 × 64,713,425
  4. Step 4: Simplify right side
    29,573,877x = 4,187,827,375,230,625
  5. Step 5: Solve for x
    x = 4,187,827,375,230,625/29,573,877
  6. Step 6: Final answer
    x = 141,605,626.32

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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.