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Finding the Third Proportional to 47,265,948 and 102,598,686

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Solution

The third proportional to 47,265,948 and 102,598,686 is: 222,707,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265,948 : 102,598,686 = 102,598,686 : x
  2. Step 2: Convert to fraction form
    47,265,948/102,598,686 = 102,598,686/x
  3. Step 3: Cross multiply
    47,265,948x = 102,598,686 × 102,598,686
  4. Step 4: Simplify right side
    47,265,948x = 10,526,490,368,926,596
  5. Step 5: Solve for x
    x = 10,526,490,368,926,596/47,265,948
  6. Step 6: Final answer
    x = 222,707,695.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.