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Finding the Third Proportional to 24,978,503,713.13 and 54,534,261,931.13

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Solution

The third proportional to 24,978,503,713.13 and 54,534,261,931.13 is: 119,061,804,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978,503,713.13 : 54,534,261,931.13 = 54,534,261,931.13 : x
  2. Step 2: Convert to fraction form
    24,978,503,713.13/54,534,261,931.13 = 54,534,261,931.13/x
  3. Step 3: Cross multiply
    24,978,503,713.13x = 54,534,261,931.13 × 54,534,261,931.13
  4. Step 4: Simplify right side
    24,978,503,713.13x = 2,973,985,724,372,549,632,000
  5. Step 5: Solve for x
    x = 2,973,985,724,372,549,632,000/24,978,503,713.13
  6. Step 6: Final answer
    x = 119,061,804,443.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.