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Finding the Third Proportional to 137,914,064 and 300,041,720

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Solution

The third proportional to 137,914,064 and 300,041,720 is: 652,761,807.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,914,064 : 300,041,720 = 300,041,720 : x
  2. Step 2: Convert to fraction form
    137,914,064/300,041,720 = 300,041,720/x
  3. Step 3: Cross multiply
    137,914,064x = 300,041,720 × 300,041,720
  4. Step 4: Simplify right side
    137,914,064x = 90,025,033,740,558,400
  5. Step 5: Solve for x
    x = 90,025,033,740,558,400/137,914,064
  6. Step 6: Final answer
    x = 652,761,807.82

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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.