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Finding the Third Proportional to 363,543,120 and 575,750,049

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Solution

The third proportional to 363,543,120 and 575,750,049 is: 911,826,137.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,543,120 : 575,750,049 = 575,750,049 : x
  2. Step 2: Convert to fraction form
    363,543,120/575,750,049 = 575,750,049/x
  3. Step 3: Cross multiply
    363,543,120x = 575,750,049 × 575,750,049
  4. Step 4: Simplify right side
    363,543,120x = 331,488,118,923,502,400
  5. Step 5: Solve for x
    x = 331,488,118,923,502,400/363,543,120
  6. Step 6: Final answer
    x = 911,826,137.50

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.