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Finding the Third Proportional to 1,249,123,123 and 2,777,532,342

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Solution

The third proportional to 1,249,123,123 and 2,777,532,342 is: 6,176,081,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249,123,123 : 2,777,532,342 = 2,777,532,342 : x
  2. Step 2: Convert to fraction form
    1,249,123,123/2,777,532,342 = 2,777,532,342/x
  3. Step 3: Cross multiply
    1,249,123,123x = 2,777,532,342 × 2,777,532,342
  4. Step 4: Simplify right side
    1,249,123,123x = 7,714,685,910,856,004,608
  5. Step 5: Solve for x
    x = 7,714,685,910,856,004,608/1,249,123,123
  6. Step 6: Final answer
    x = 6,176,081,259.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.