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Finding the Third Proportional to 24,653,824 and 38,323,560

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Solution

The third proportional to 24,653,824 and 38,323,560 is: 59,572,715.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653,824 : 38,323,560 = 38,323,560 : x
  2. Step 2: Convert to fraction form
    24,653,824/38,323,560 = 38,323,560/x
  3. Step 3: Cross multiply
    24,653,824x = 38,323,560 × 38,323,560
  4. Step 4: Simplify right side
    24,653,824x = 1,468,695,251,073,600
  5. Step 5: Solve for x
    x = 1,468,695,251,073,600/24,653,824
  6. Step 6: Final answer
    x = 59,572,715.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.