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Finding the Third Proportional to 775,225,495.13 and 1,191,577,645.13

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Solution

The third proportional to 775,225,495.13 and 1,191,577,645.13 is: 1,831,541,007.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,225,495.13 : 1,191,577,645.13 = 1,191,577,645.13 : x
  2. Step 2: Convert to fraction form
    775,225,495.13/1,191,577,645.13 = 1,191,577,645.13/x
  3. Step 3: Cross multiply
    775,225,495.13x = 1,191,577,645.13 × 1,191,577,645.13
  4. Step 4: Simplify right side
    775,225,495.13x = 1,419,857,284,361,640,448
  5. Step 5: Solve for x
    x = 1,419,857,284,361,640,448/775,225,495.13
  6. Step 6: Final answer
    x = 1,831,541,007.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.