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Finding the Third Proportional to 868,856,165,660 and 1,870,500,600,184

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Solution

The third proportional to 868,856,165,660 and 1,870,500,600,184 is: 4,026,871,919,163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,856,165,660 : 1,870,500,600,184 = 1,870,500,600,184 : x
  2. Step 2: Convert to fraction form
    868,856,165,660/1,870,500,600,184 = 1,870,500,600,184/x
  3. Step 3: Cross multiply
    868,856,165,660x = 1,870,500,600,184 × 1,870,500,600,184
  4. Step 4: Simplify right side
    868,856,165,660x = 3,498,772,495,288,704,016,842,752
  5. Step 5: Solve for x
    x = 3,498,772,495,288,704,016,842,752/868,856,165,660
  6. Step 6: Final answer
    x = 4,026,871,919,163.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.