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Finding the Third Proportional to 54,075,712 and 120,241,632

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Solution

The third proportional to 54,075,712 and 120,241,632 is: 267,366,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,075,712 : 120,241,632 = 120,241,632 : x
  2. Step 2: Convert to fraction form
    54,075,712/120,241,632 = 120,241,632/x
  3. Step 3: Cross multiply
    54,075,712x = 120,241,632 × 120,241,632
  4. Step 4: Simplify right side
    54,075,712x = 14,458,050,066,023,424
  5. Step 5: Solve for x
    x = 14,458,050,066,023,424/54,075,712
  6. Step 6: Final answer
    x = 267,366,799.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.