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Finding the Third Proportional to 3,471,041,055 and 5,287,772,416

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Solution

The third proportional to 3,471,041,055 and 5,287,772,416 is: 8,055,374,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,041,055 : 5,287,772,416 = 5,287,772,416 : x
  2. Step 2: Convert to fraction form
    3,471,041,055/5,287,772,416 = 5,287,772,416/x
  3. Step 3: Cross multiply
    3,471,041,055x = 5,287,772,416 × 5,287,772,416
  4. Step 4: Simplify right side
    3,471,041,055x = 27,960,537,123,410,477,056
  5. Step 5: Solve for x
    x = 27,960,537,123,410,477,056/3,471,041,055
  6. Step 6: Final answer
    x = 8,055,374,938.06

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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.