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Finding the Third Proportional to 974,419,368.75 and 2,299,530,799.13

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Solution

The third proportional to 974,419,368.75 and 2,299,530,799.13 is: 5,426,659,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,419,368.75 : 2,299,530,799.13 = 2,299,530,799.13 : x
  2. Step 2: Convert to fraction form
    974,419,368.75/2,299,530,799.13 = 2,299,530,799.13/x
  3. Step 3: Cross multiply
    974,419,368.75x = 2,299,530,799.13 × 2,299,530,799.13
  4. Step 4: Simplify right side
    974,419,368.75x = 5,287,841,896,124,461,056
  5. Step 5: Solve for x
    x = 5,287,841,896,124,461,056/974,419,368.75
  6. Step 6: Final answer
    x = 5,426,659,265.72

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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.