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Finding the Third Proportional to 1,259,721,268 and 2,748,668,648

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Solution

The third proportional to 1,259,721,268 and 2,748,668,648 is: 5,997,500,818.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259,721,268 : 2,748,668,648 = 2,748,668,648 : x
  2. Step 2: Convert to fraction form
    1,259,721,268/2,748,668,648 = 2,748,668,648/x
  3. Step 3: Cross multiply
    1,259,721,268x = 2,748,668,648 × 2,748,668,648
  4. Step 4: Simplify right side
    1,259,721,268x = 7,555,179,336,498,148,352
  5. Step 5: Solve for x
    x = 7,555,179,336,498,148,352/1,259,721,268
  6. Step 6: Final answer
    x = 5,997,500,818.97

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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.