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Finding the Third Proportional to 727,330,864 and 1,109,155,503

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Solution

The third proportional to 727,330,864 and 1,109,155,503 is: 1,691,425,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,330,864 : 1,109,155,503 = 1,109,155,503 : x
  2. Step 2: Convert to fraction form
    727,330,864/1,109,155,503 = 1,109,155,503/x
  3. Step 3: Cross multiply
    727,330,864x = 1,109,155,503 × 1,109,155,503
  4. Step 4: Simplify right side
    727,330,864x = 1,230,225,929,835,183,104
  5. Step 5: Solve for x
    x = 1,230,225,929,835,183,104/727,330,864
  6. Step 6: Final answer
    x = 1,691,425,444.36

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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.