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Finding the Third Proportional to 47,999,460 and 105,341,634

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Solution

The third proportional to 47,999,460 and 105,341,634 is: 231,187,181.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999,460 : 105,341,634 = 105,341,634 : x
  2. Step 2: Convert to fraction form
    47,999,460/105,341,634 = 105,341,634/x
  3. Step 3: Cross multiply
    47,999,460x = 105,341,634 × 105,341,634
  4. Step 4: Simplify right side
    47,999,460x = 11,096,859,853,789,956
  5. Step 5: Solve for x
    x = 11,096,859,853,789,956/47,999,460
  6. Step 6: Final answer
    x = 231,187,181.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.