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Finding the Third Proportional to 727,330,860 and 1,109,155,497

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Solution

The third proportional to 727,330,860 and 1,109,155,497 is: 1,691,425,435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,330,860 : 1,109,155,497 = 1,109,155,497 : x
  2. Step 2: Convert to fraction form
    727,330,860/1,109,155,497 = 1,109,155,497/x
  3. Step 3: Cross multiply
    727,330,860x = 1,109,155,497 × 1,109,155,497
  4. Step 4: Simplify right side
    727,330,860x = 1,230,225,916,525,317,120
  5. Step 5: Solve for x
    x = 1,230,225,916,525,317,120/727,330,860
  6. Step 6: Final answer
    x = 1,691,425,435.36

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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.