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Finding the Third Proportional to 10,842,730 and 15,901,923

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Solution

The third proportional to 10,842,730 and 15,901,923 is: 23,321,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,842,730 : 15,901,923 = 15,901,923 : x
  2. Step 2: Convert to fraction form
    10,842,730/15,901,923 = 15,901,923/x
  3. Step 3: Cross multiply
    10,842,730x = 15,901,923 × 15,901,923
  4. Step 4: Simplify right side
    10,842,730x = 252,871,155,097,929
  5. Step 5: Solve for x
    x = 252,871,155,097,929/10,842,730
  6. Step 6: Final answer
    x = 23,321,723.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.