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Finding the Third Proportional to 62,869,747,014 and 137,118,256,584

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Solution

The third proportional to 62,869,747,014 and 137,118,256,584 is: 299,053,474,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,869,747,014 : 137,118,256,584 = 137,118,256,584 : x
  2. Step 2: Convert to fraction form
    62,869,747,014/137,118,256,584 = 137,118,256,584/x
  3. Step 3: Cross multiply
    62,869,747,014x = 137,118,256,584 × 137,118,256,584
  4. Step 4: Simplify right side
    62,869,747,014x = 18,801,416,288,635,658,960,896
  5. Step 5: Solve for x
    x = 18,801,416,288,635,658,960,896/62,869,747,014
  6. Step 6: Final answer
    x = 299,053,474,550.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.