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Finding the Third Proportional to 2,891,036,834.50 and 3,900,687,506.50

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Solution

The third proportional to 2,891,036,834.50 and 3,900,687,506.50 is: 5,262,943,329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891,036,834.50 : 3,900,687,506.50 = 3,900,687,506.50 : x
  2. Step 2: Convert to fraction form
    2,891,036,834.50/3,900,687,506.50 = 3,900,687,506.50/x
  3. Step 3: Cross multiply
    2,891,036,834.50x = 3,900,687,506.50 × 3,900,687,506.50
  4. Step 4: Simplify right side
    2,891,036,834.50x = 15,215,363,023,365,187,584
  5. Step 5: Solve for x
    x = 15,215,363,023,365,187,584/2,891,036,834.50
  6. Step 6: Final answer
    x = 5,262,943,329.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.