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Finding the Third Proportional to 47,820,947 and 102,290,374

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Solution

The third proportional to 47,820,947 and 102,290,374 is: 218,802,036.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,820,947 : 102,290,374 = 102,290,374 : x
  2. Step 2: Convert to fraction form
    47,820,947/102,290,374 = 102,290,374/x
  3. Step 3: Cross multiply
    47,820,947x = 102,290,374 × 102,290,374
  4. Step 4: Simplify right side
    47,820,947x = 10,463,320,613,059,876
  5. Step 5: Solve for x
    x = 10,463,320,613,059,876/47,820,947
  6. Step 6: Final answer
    x = 218,802,036.96

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