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Finding the Third Proportional to 732,775,140 and 1,580,338,584

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Solution

The third proportional to 732,775,140 and 1,580,338,584 is: 3,408,235,219.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,775,140 : 1,580,338,584 = 1,580,338,584 : x
  2. Step 2: Convert to fraction form
    732,775,140/1,580,338,584 = 1,580,338,584/x
  3. Step 3: Cross multiply
    732,775,140x = 1,580,338,584 × 1,580,338,584
  4. Step 4: Simplify right side
    732,775,140x = 2,497,470,040,079,124,992
  5. Step 5: Solve for x
    x = 2,497,470,040,079,124,992/732,775,140
  6. Step 6: Final answer
    x = 3,408,235,219.44

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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.