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Finding the Third Proportional to 767,340,220 and 1,687,735,448

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Solution

The third proportional to 767,340,220 and 1,687,735,448 is: 3,712,109,528.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,340,220 : 1,687,735,448 = 1,687,735,448 : x
  2. Step 2: Convert to fraction form
    767,340,220/1,687,735,448 = 1,687,735,448/x
  3. Step 3: Cross multiply
    767,340,220x = 1,687,735,448 × 1,687,735,448
  4. Step 4: Simplify right side
    767,340,220x = 2,848,450,942,435,760,640
  5. Step 5: Solve for x
    x = 2,848,450,942,435,760,640/767,340,220
  6. Step 6: Final answer
    x = 3,712,109,528.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.