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Finding the Third Proportional to 974,375,774 and 2,000,406,166

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Solution

The third proportional to 974,375,774 and 2,000,406,166 is: 4,106,859,936.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,375,774 : 2,000,406,166 = 2,000,406,166 : x
  2. Step 2: Convert to fraction form
    974,375,774/2,000,406,166 = 2,000,406,166/x
  3. Step 3: Cross multiply
    974,375,774x = 2,000,406,166 × 2,000,406,166
  4. Step 4: Simplify right side
    974,375,774x = 4,001,624,828,970,819,584
  5. Step 5: Solve for x
    x = 4,001,624,828,970,819,584/974,375,774
  6. Step 6: Final answer
    x = 4,106,859,936.12

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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.