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Finding the Third Proportional to 656,067,628 and 1,338,530,143

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Solution

The third proportional to 656,067,628 and 1,338,530,143 is: 2,730,911,978.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,067,628 : 1,338,530,143 = 1,338,530,143 : x
  2. Step 2: Convert to fraction form
    656,067,628/1,338,530,143 = 1,338,530,143/x
  3. Step 3: Cross multiply
    656,067,628x = 1,338,530,143 × 1,338,530,143
  4. Step 4: Simplify right side
    656,067,628x = 1,791,662,943,719,600,384
  5. Step 5: Solve for x
    x = 1,791,662,943,719,600,384/656,067,628
  6. Step 6: Final answer
    x = 2,730,911,978.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.