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Finding the Third Proportional to 3,253,767,854.63 and 4,582,022,130

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Solution

The third proportional to 3,253,767,854.63 and 4,582,022,130 is: 6,452,496,839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253,767,854.63 : 4,582,022,130 = 4,582,022,130 : x
  2. Step 2: Convert to fraction form
    3,253,767,854.63/4,582,022,130 = 4,582,022,130/x
  3. Step 3: Cross multiply
    3,253,767,854.63x = 4,582,022,130 × 4,582,022,130
  4. Step 4: Simplify right side
    3,253,767,854.63x = 20,994,926,799,809,736,704
  5. Step 5: Solve for x
    x = 20,994,926,799,809,736,704/3,253,767,854.63
  6. Step 6: Final answer
    x = 6,452,496,839.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.