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Finding the Third Proportional to 781,195,447.13 and 1,190,107,396.13

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Solution

The third proportional to 781,195,447.13 and 1,190,107,396.13 is: 1,813,061,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,195,447.13 : 1,190,107,396.13 = 1,190,107,396.13 : x
  2. Step 2: Convert to fraction form
    781,195,447.13/1,190,107,396.13 = 1,190,107,396.13/x
  3. Step 3: Cross multiply
    781,195,447.13x = 1,190,107,396.13 × 1,190,107,396.13
  4. Step 4: Simplify right side
    781,195,447.13x = 1,416,355,614,311,427,584
  5. Step 5: Solve for x
    x = 1,416,355,614,311,427,584/781,195,447.13
  6. Step 6: Final answer
    x = 1,813,061,788.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.