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Finding the Third Proportional to 34,557,822 and 74,244,124

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Solution

The third proportional to 34,557,822 and 74,244,124 is: 159,506,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,557,822 : 74,244,124 = 74,244,124 : x
  2. Step 2: Convert to fraction form
    34,557,822/74,244,124 = 74,244,124/x
  3. Step 3: Cross multiply
    34,557,822x = 74,244,124 × 74,244,124
  4. Step 4: Simplify right side
    34,557,822x = 5,512,189,948,527,376
  5. Step 5: Solve for x
    x = 5,512,189,948,527,376/34,557,822
  6. Step 6: Final answer
    x = 159,506,289.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.