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Finding the Third Proportional to 10,105,727 and 15,533,459

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Solution

The third proportional to 10,105,727 and 15,533,459 is: 23,876,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,727 : 15,533,459 = 15,533,459 : x
  2. Step 2: Convert to fraction form
    10,105,727/15,533,459 = 15,533,459/x
  3. Step 3: Cross multiply
    10,105,727x = 15,533,459 × 15,533,459
  4. Step 4: Simplify right side
    10,105,727x = 241,288,348,504,681
  5. Step 5: Solve for x
    x = 241,288,348,504,681/10,105,727
  6. Step 6: Final answer
    x = 23,876,396.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.