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Finding the Third Proportional to 1,548,522,632 and 2,367,220,629

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Solution

The third proportional to 1,548,522,632 and 2,367,220,629 is: 3,618,761,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548,522,632 : 2,367,220,629 = 2,367,220,629 : x
  2. Step 2: Convert to fraction form
    1,548,522,632/2,367,220,629 = 2,367,220,629/x
  3. Step 3: Cross multiply
    1,548,522,632x = 2,367,220,629 × 2,367,220,629
  4. Step 4: Simplify right side
    1,548,522,632x = 5,603,733,506,363,155,456
  5. Step 5: Solve for x
    x = 5,603,733,506,363,155,456/1,548,522,632
  6. Step 6: Final answer
    x = 3,618,761,127.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.