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Finding the Third Proportional to 867,437,977.08 and 1,321,495,581.52

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Solution

The third proportional to 867,437,977.08 and 1,321,495,581.52 is: 2,013,228,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    867,437,977.08 : 1,321,495,581.52 = 1,321,495,581.52 : x
  2. Step 2: Convert to fraction form
    867,437,977.08/1,321,495,581.52 = 1,321,495,581.52/x
  3. Step 3: Cross multiply
    867,437,977.08x = 1,321,495,581.52 × 1,321,495,581.52
  4. Step 4: Simplify right side
    867,437,977.08x = 1,746,350,571,965,253,632
  5. Step 5: Solve for x
    x = 1,746,350,571,965,253,632/867,437,977.08
  6. Step 6: Final answer
    x = 2,013,228,170.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.