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Finding the Third Proportional to 952,658,154 and 2,043,156,438

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Solution

The third proportional to 952,658,154 and 2,043,156,438 is: 4,381,937,227.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,658,154 : 2,043,156,438 = 2,043,156,438 : x
  2. Step 2: Convert to fraction form
    952,658,154/2,043,156,438 = 2,043,156,438/x
  3. Step 3: Cross multiply
    952,658,154x = 2,043,156,438 × 2,043,156,438
  4. Step 4: Simplify right side
    952,658,154x = 4,174,488,230,140,847,616
  5. Step 5: Solve for x
    x = 4,174,488,230,140,847,616/952,658,154
  6. Step 6: Final answer
    x = 4,381,937,227.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.