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Finding the Third Proportional to 625,125,068 and 1,361,338,072

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Solution

The third proportional to 625,125,068 and 1,361,338,072 is: 2,964,592,912.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,125,068 : 1,361,338,072 = 1,361,338,072 : x
  2. Step 2: Convert to fraction form
    625,125,068/1,361,338,072 = 1,361,338,072/x
  3. Step 3: Cross multiply
    625,125,068x = 1,361,338,072 × 1,361,338,072
  4. Step 4: Simplify right side
    625,125,068x = 1,853,241,346,276,677,120
  5. Step 5: Solve for x
    x = 1,853,241,346,276,677,120/625,125,068
  6. Step 6: Final answer
    x = 2,964,592,912.91

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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.