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Finding the Third Proportional to 347,610,264 and 755,007,654

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Solution

The third proportional to 347,610,264 and 755,007,654 is: 1,639,872,629.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,610,264 : 755,007,654 = 755,007,654 : x
  2. Step 2: Convert to fraction form
    347,610,264/755,007,654 = 755,007,654/x
  3. Step 3: Cross multiply
    347,610,264x = 755,007,654 × 755,007,654
  4. Step 4: Simplify right side
    347,610,264x = 570,036,557,598,583,744
  5. Step 5: Solve for x
    x = 570,036,557,598,583,744/347,610,264
  6. Step 6: Final answer
    x = 1,639,872,629.30

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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.