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Finding the Third Proportional to 748,659,216.38 and 1,163,815,512.75

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Solution

The third proportional to 748,659,216.38 and 1,163,815,512.75 is: 1,809,189,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,659,216.38 : 1,163,815,512.75 = 1,163,815,512.75 : x
  2. Step 2: Convert to fraction form
    748,659,216.38/1,163,815,512.75 = 1,163,815,512.75/x
  3. Step 3: Cross multiply
    748,659,216.38x = 1,163,815,512.75 × 1,163,815,512.75
  4. Step 4: Simplify right side
    748,659,216.38x = 1,354,466,547,717,545,472
  5. Step 5: Solve for x
    x = 1,354,466,547,717,545,472/748,659,216.38
  6. Step 6: Final answer
    x = 1,809,189,706.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.