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Finding the Third Proportional to 15,949,927.69 and 23,919,970.78

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Solution

The third proportional to 15,949,927.69 and 23,919,970.78 is: 35,872,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,949,927.69 : 23,919,970.78 = 23,919,970.78 : x
  2. Step 2: Convert to fraction form
    15,949,927.69/23,919,970.78 = 23,919,970.78/x
  3. Step 3: Cross multiply
    15,949,927.69x = 23,919,970.78 × 23,919,970.78
  4. Step 4: Simplify right side
    15,949,927.69x = 572,165,002,175,853.75
  5. Step 5: Solve for x
    x = 572,165,002,175,853.75/15,949,927.69
  6. Step 6: Final answer
    x = 35,872,576.56

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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.