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Finding the Third Proportional to 974,375,766 and 2,000,406,150

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Solution

The third proportional to 974,375,766 and 2,000,406,150 is: 4,106,859,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375,766 : 2,000,406,150 = 2,000,406,150 : x
  2. Step 2: Convert to fraction form
    974,375,766/2,000,406,150 = 2,000,406,150/x
  3. Step 3: Cross multiply
    974,375,766x = 2,000,406,150 × 2,000,406,150
  4. Step 4: Simplify right side
    974,375,766x = 4,001,624,764,957,822,464
  5. Step 5: Solve for x
    x = 4,001,624,764,957,822,464/974,375,766
  6. Step 6: Final answer
    x = 4,106,859,904.15

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.