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Finding the Third Proportional to 9,899,853 and 15,752,767.50

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Solution

The third proportional to 9,899,853 and 15,752,767.50 is: 25,065,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899,853 : 15,752,767.50 = 15,752,767.50 : x
  2. Step 2: Convert to fraction form
    9,899,853/15,752,767.50 = 15,752,767.50/x
  3. Step 3: Cross multiply
    9,899,853x = 15,752,767.50 × 15,752,767.50
  4. Step 4: Simplify right side
    9,899,853x = 248,149,683,909,056.25
  5. Step 5: Solve for x
    x = 248,149,683,909,056.25/9,899,853
  6. Step 6: Final answer
    x = 25,065,996.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.