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Finding the Third Proportional to 612,175,900,596.75 and 1,326,217,662,684

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Solution

The third proportional to 612,175,900,596.75 and 1,326,217,662,684 is: 2,873,117,493,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,175,900,596.75 : 1,326,217,662,684 = 1,326,217,662,684 : x
  2. Step 2: Convert to fraction form
    612,175,900,596.75/1,326,217,662,684 = 1,326,217,662,684/x
  3. Step 3: Cross multiply
    612,175,900,596.75x = 1,326,217,662,684 × 1,326,217,662,684
  4. Step 4: Simplify right side
    612,175,900,596.75x = 1,758,853,288,815,011,949,445,120
  5. Step 5: Solve for x
    x = 1,758,853,288,815,011,949,445,120/612,175,900,596.75
  6. Step 6: Final answer
    x = 2,873,117,493,028.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.