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Finding the Third Proportional to 817,578,696 and 1,793,442,385.50

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Solution

The third proportional to 817,578,696 and 1,793,442,385.50 is: 3,934,099,073.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,578,696 : 1,793,442,385.50 = 1,793,442,385.50 : x
  2. Step 2: Convert to fraction form
    817,578,696/1,793,442,385.50 = 1,793,442,385.50/x
  3. Step 3: Cross multiply
    817,578,696x = 1,793,442,385.50 × 1,793,442,385.50
  4. Step 4: Simplify right side
    817,578,696x = 3,216,435,590,107,930,624
  5. Step 5: Solve for x
    x = 3,216,435,590,107,930,624/817,578,696
  6. Step 6: Final answer
    x = 3,934,099,073.09

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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.