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Finding the Third Proportional to 10,091,758 and 15,134,468

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Solution

The third proportional to 10,091,758 and 15,134,468 is: 22,696,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091,758 : 15,134,468 = 15,134,468 : x
  2. Step 2: Convert to fraction form
    10,091,758/15,134,468 = 15,134,468/x
  3. Step 3: Cross multiply
    10,091,758x = 15,134,468 × 15,134,468
  4. Step 4: Simplify right side
    10,091,758x = 229,052,121,643,024
  5. Step 5: Solve for x
    x = 229,052,121,643,024/10,091,758
  6. Step 6: Final answer
    x = 22,696,949.50

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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.