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Finding the Third Proportional to 974,419,376 and 2,299,530,814

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Solution

The third proportional to 974,419,376 and 2,299,530,814 is: 5,426,659,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,419,376 : 2,299,530,814 = 2,299,530,814 : x
  2. Step 2: Convert to fraction form
    974,419,376/2,299,530,814 = 2,299,530,814/x
  3. Step 3: Cross multiply
    974,419,376x = 2,299,530,814 × 2,299,530,814
  4. Step 4: Simplify right side
    974,419,376x = 5,287,841,964,535,502,848
  5. Step 5: Solve for x
    x = 5,287,841,964,535,502,848/974,419,376
  6. Step 6: Final answer
    x = 5,426,659,295.55

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.