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Finding the Third Proportional to 732,775,542 and 1,580,339,100

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Solution

The third proportional to 732,775,542 and 1,580,339,100 is: 3,408,235,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,775,542 : 1,580,339,100 = 1,580,339,100 : x
  2. Step 2: Convert to fraction form
    732,775,542/1,580,339,100 = 1,580,339,100/x
  3. Step 3: Cross multiply
    732,775,542x = 1,580,339,100 × 1,580,339,100
  4. Step 4: Simplify right side
    732,775,542x = 2,497,471,670,988,810,240
  5. Step 5: Solve for x
    x = 2,497,471,670,988,810,240/732,775,542
  6. Step 6: Final answer
    x = 3,408,235,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.