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Finding the Third Proportional to 761,358,184 and 1,667,793,200

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Solution

The third proportional to 761,358,184 and 1,667,793,200 is: 3,653,384,460.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,358,184 : 1,667,793,200 = 1,667,793,200 : x
  2. Step 2: Convert to fraction form
    761,358,184/1,667,793,200 = 1,667,793,200/x
  3. Step 3: Cross multiply
    761,358,184x = 1,667,793,200 × 1,667,793,200
  4. Step 4: Simplify right side
    761,358,184x = 2,781,534,157,966,239,744
  5. Step 5: Solve for x
    x = 2,781,534,157,966,239,744/761,358,184
  6. Step 6: Final answer
    x = 3,653,384,460.06

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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.