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Finding the Third Proportional to 29,977,914 and 64,502,604

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Solution

The third proportional to 29,977,914 and 64,502,604 is: 138,788,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977,914 : 64,502,604 = 64,502,604 : x
  2. Step 2: Convert to fraction form
    29,977,914/64,502,604 = 64,502,604/x
  3. Step 3: Cross multiply
    29,977,914x = 64,502,604 × 64,502,604
  4. Step 4: Simplify right side
    29,977,914x = 4,160,585,922,780,816
  5. Step 5: Solve for x
    x = 4,160,585,922,780,816/29,977,914
  6. Step 6: Final answer
    x = 138,788,373.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.