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Finding the Third Proportional to 868,856,165,646 and 1,870,500,600,156

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Solution

The third proportional to 868,856,165,646 and 1,870,500,600,156 is: 4,026,871,919,108.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,856,165,646 : 1,870,500,600,156 = 1,870,500,600,156 : x
  2. Step 2: Convert to fraction form
    868,856,165,646/1,870,500,600,156 = 1,870,500,600,156/x
  3. Step 3: Cross multiply
    868,856,165,646x = 1,870,500,600,156 × 1,870,500,600,156
  4. Step 4: Simplify right side
    868,856,165,646x = 3,498,772,495,183,956,206,944,256
  5. Step 5: Solve for x
    x = 3,498,772,495,183,956,206,944,256/868,856,165,646
  6. Step 6: Final answer
    x = 4,026,871,919,108.26

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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.