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Finding the Third Proportional to 350,412,528 and 811,182,360

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Solution

The third proportional to 350,412,528 and 811,182,360 is: 1,877,834,747.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,412,528 : 811,182,360 = 811,182,360 : x
  2. Step 2: Convert to fraction form
    350,412,528/811,182,360 = 811,182,360/x
  3. Step 3: Cross multiply
    350,412,528x = 811,182,360 × 811,182,360
  4. Step 4: Simplify right side
    350,412,528x = 658,016,821,175,169,536
  5. Step 5: Solve for x
    x = 658,016,821,175,169,536/350,412,528
  6. Step 6: Final answer
    x = 1,877,834,747.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.