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Finding the Third Proportional to 866,102,792 and 2,043,847,508

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Solution

The third proportional to 866,102,792 and 2,043,847,508 is: 4,823,114,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,102,792 : 2,043,847,508 = 2,043,847,508 : x
  2. Step 2: Convert to fraction form
    866,102,792/2,043,847,508 = 2,043,847,508/x
  3. Step 3: Cross multiply
    866,102,792x = 2,043,847,508 × 2,043,847,508
  4. Step 4: Simplify right side
    866,102,792x = 4,177,312,635,957,810,176
  5. Step 5: Solve for x
    x = 4,177,312,635,957,810,176/866,102,792
  6. Step 6: Final answer
    x = 4,823,114,155.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.