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Finding the Third Proportional to 47,270,150 and 102,822,496

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Solution

The third proportional to 47,270,150 and 102,822,496 is: 223,660,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,270,150 : 102,822,496 = 102,822,496 : x
  2. Step 2: Convert to fraction form
    47,270,150/102,822,496 = 102,822,496/x
  3. Step 3: Cross multiply
    47,270,150x = 102,822,496 × 102,822,496
  4. Step 4: Simplify right side
    47,270,150x = 10,572,465,683,670,016
  5. Step 5: Solve for x
    x = 10,572,465,683,670,016/47,270,150
  6. Step 6: Final answer
    x = 223,660,506.34

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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.