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Finding the Third Proportional to 974,375,766.50 and 2,000,406,151

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Solution

The third proportional to 974,375,766.50 and 2,000,406,151 is: 4,106,859,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375,766.50 : 2,000,406,151 = 2,000,406,151 : x
  2. Step 2: Convert to fraction form
    974,375,766.50/2,000,406,151 = 2,000,406,151/x
  3. Step 3: Cross multiply
    974,375,766.50x = 2,000,406,151 × 2,000,406,151
  4. Step 4: Simplify right side
    974,375,766.50x = 4,001,624,768,958,635,008
  5. Step 5: Solve for x
    x = 4,001,624,768,958,635,008/974,375,766.50
  6. Step 6: Final answer
    x = 4,106,859,906.15

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Why These Related Problems?

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