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Finding the Third Proportional to 10,610,956.65 and 22,734,582.61

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Solution

The third proportional to 10,610,956.65 and 22,734,582.61 is: 48,710,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610,956.65 : 22,734,582.61 = 22,734,582.61 : x
  2. Step 2: Convert to fraction form
    10,610,956.65/22,734,582.61 = 22,734,582.61/x
  3. Step 3: Cross multiply
    10,610,956.65x = 22,734,582.61 × 22,734,582.61
  4. Step 4: Simplify right side
    10,610,956.65x = 516,861,246,422,496.19
  5. Step 5: Solve for x
    x = 516,861,246,422,496.19/10,610,956.65
  6. Step 6: Final answer
    x = 48,710,145.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.