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Finding the Third Proportional to 337,395,280 and 736,655,648

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Solution

The third proportional to 337,395,280 and 736,655,648 is: 1,608,385,107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,395,280 : 736,655,648 = 736,655,648 : x
  2. Step 2: Convert to fraction form
    337,395,280/736,655,648 = 736,655,648/x
  3. Step 3: Cross multiply
    337,395,280x = 736,655,648 × 736,655,648
  4. Step 4: Simplify right side
    337,395,280x = 542,661,543,730,299,904
  5. Step 5: Solve for x
    x = 542,661,543,730,299,904/337,395,280
  6. Step 6: Final answer
    x = 1,608,385,107.61

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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.