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Finding the Third Proportional to 7,663,386 and 11,527,074

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Solution

The third proportional to 7,663,386 and 11,527,074 is: 17,338,737.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,386 : 11,527,074 = 11,527,074 : x
  2. Step 2: Convert to fraction form
    7,663,386/11,527,074 = 11,527,074/x
  3. Step 3: Cross multiply
    7,663,386x = 11,527,074 × 11,527,074
  4. Step 4: Simplify right side
    7,663,386x = 132,873,435,001,476
  5. Step 5: Solve for x
    x = 132,873,435,001,476/7,663,386
  6. Step 6: Final answer
    x = 17,338,737.08

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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.