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Finding the Third Proportional to 868,856,165,658 and 1,870,500,600,180

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Solution

The third proportional to 868,856,165,658 and 1,870,500,600,180 is: 4,026,871,919,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    868,856,165,658 : 1,870,500,600,180 = 1,870,500,600,180 : x
  2. Step 2: Convert to fraction form
    868,856,165,658/1,870,500,600,180 = 1,870,500,600,180/x
  3. Step 3: Cross multiply
    868,856,165,658x = 1,870,500,600,180 × 1,870,500,600,180
  4. Step 4: Simplify right side
    868,856,165,658x = 3,498,772,495,273,740,350,783,488
  5. Step 5: Solve for x
    x = 3,498,772,495,273,740,350,783,488/868,856,165,658
  6. Step 6: Final answer
    x = 4,026,871,919,155.98

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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.