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Finding the Third Proportional to 625,125,066 and 1,361,338,068

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Solution

The third proportional to 625,125,066 and 1,361,338,068 is: 2,964,592,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,125,066 : 1,361,338,068 = 1,361,338,068 : x
  2. Step 2: Convert to fraction form
    625,125,066/1,361,338,068 = 1,361,338,068/x
  3. Step 3: Cross multiply
    625,125,066x = 1,361,338,068 × 1,361,338,068
  4. Step 4: Simplify right side
    625,125,066x = 1,853,241,335,385,972,736
  5. Step 5: Solve for x
    x = 1,853,241,335,385,972,736/625,125,066
  6. Step 6: Final answer
    x = 2,964,592,904.98

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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.