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Finding the Third Proportional to 3,911,938.13 and 5,984,077.13

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Solution

The third proportional to 3,911,938.13 and 5,984,077.13 is: 9,153,820.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911,938.13 : 5,984,077.13 = 5,984,077.13 : x
  2. Step 2: Convert to fraction form
    3,911,938.13/5,984,077.13 = 5,984,077.13/x
  3. Step 3: Cross multiply
    3,911,938.13x = 5,984,077.13 × 5,984,077.13
  4. Step 4: Simplify right side
    3,911,938.13x = 35,809,179,037,948.27
  5. Step 5: Solve for x
    x = 35,809,179,037,948.27/3,911,938.13
  6. Step 6: Final answer
    x = 9,153,820.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.