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Finding the Third Proportional to 873,633,885.75 and 1,180,720,158.75

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Solution

The third proportional to 873,633,885.75 and 1,180,720,158.75 is: 1,595,748,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,633,885.75 : 1,180,720,158.75 = 1,180,720,158.75 : x
  2. Step 2: Convert to fraction form
    873,633,885.75/1,180,720,158.75 = 1,180,720,158.75/x
  3. Step 3: Cross multiply
    873,633,885.75x = 1,180,720,158.75 × 1,180,720,158.75
  4. Step 4: Simplify right side
    873,633,885.75x = 1,394,100,093,278,625,280
  5. Step 5: Solve for x
    x = 1,394,100,093,278,625,280/873,633,885.75
  6. Step 6: Final answer
    x = 1,595,748,649.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.