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Finding the Third Proportional to 761,358,204 and 1,667,793,240

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Solution

The third proportional to 761,358,204 and 1,667,793,240 is: 3,653,384,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,358,204 : 1,667,793,240 = 1,667,793,240 : x
  2. Step 2: Convert to fraction form
    761,358,204/1,667,793,240 = 1,667,793,240/x
  3. Step 3: Cross multiply
    761,358,204x = 1,667,793,240 × 1,667,793,240
  4. Step 4: Simplify right side
    761,358,204x = 2,781,534,291,389,697,536
  5. Step 5: Solve for x
    x = 2,781,534,291,389,697,536/761,358,204
  6. Step 6: Final answer
    x = 3,653,384,539.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.