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Finding the Third Proportional to 342,254,190 and 747,225,690

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Solution

The third proportional to 342,254,190 and 747,225,690 is: 1,631,378,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,190 : 747,225,690 = 747,225,690 : x
  2. Step 2: Convert to fraction form
    342,254,190/747,225,690 = 747,225,690/x
  3. Step 3: Cross multiply
    342,254,190x = 747,225,690 × 747,225,690
  4. Step 4: Simplify right side
    342,254,190x = 558,346,231,795,976,128
  5. Step 5: Solve for x
    x = 558,346,231,795,976,128/342,254,190
  6. Step 6: Final answer
    x = 1,631,378,805.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.