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Finding the Third Proportional to 974,375,771 and 2,000,406,160

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Solution

The third proportional to 974,375,771 and 2,000,406,160 is: 4,106,859,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375,771 : 2,000,406,160 = 2,000,406,160 : x
  2. Step 2: Convert to fraction form
    974,375,771/2,000,406,160 = 2,000,406,160/x
  3. Step 3: Cross multiply
    974,375,771x = 2,000,406,160 × 2,000,406,160
  4. Step 4: Simplify right side
    974,375,771x = 4,001,624,804,965,945,344
  5. Step 5: Solve for x
    x = 4,001,624,804,965,945,344/974,375,771
  6. Step 6: Final answer
    x = 4,106,859,924.13

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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.