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Finding the Third Proportional to 5,177,730 and 11,264,496

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Solution

The third proportional to 5,177,730 and 11,264,496 is: 24,506,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177,730 : 11,264,496 = 11,264,496 : x
  2. Step 2: Convert to fraction form
    5,177,730/11,264,496 = 11,264,496/x
  3. Step 3: Cross multiply
    5,177,730x = 11,264,496 × 11,264,496
  4. Step 4: Simplify right side
    5,177,730x = 126,888,870,134,016
  5. Step 5: Solve for x
    x = 126,888,870,134,016/5,177,730
  6. Step 6: Final answer
    x = 24,506,660.28

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.