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Finding the Third Proportional to 16,070,497.88 and 24,142,384.13

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Solution

The third proportional to 16,070,497.88 and 24,142,384.13 is: 36,268,615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070,497.88 : 24,142,384.13 = 24,142,384.13 : x
  2. Step 2: Convert to fraction form
    16,070,497.88/24,142,384.13 = 24,142,384.13/x
  3. Step 3: Cross multiply
    16,070,497.88x = 24,142,384.13 × 24,142,384.13
  4. Step 4: Simplify right side
    16,070,497.88x = 582,854,711,239,052
  5. Step 5: Solve for x
    x = 582,854,711,239,052/16,070,497.88
  6. Step 6: Final answer
    x = 36,268,615.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.