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Finding the Third Proportional to 25,241,532,172 and 53,984,431,040

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Solution

The third proportional to 25,241,532,172 and 53,984,431,040 is: 115,457,285,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,241,532,172 : 53,984,431,040 = 53,984,431,040 : x
  2. Step 2: Convert to fraction form
    25,241,532,172/53,984,431,040 = 53,984,431,040/x
  3. Step 3: Cross multiply
    25,241,532,172x = 53,984,431,040 × 53,984,431,040
  4. Step 4: Simplify right side
    25,241,532,172x = 2,914,318,794,712,515,346,432
  5. Step 5: Solve for x
    x = 2,914,318,794,712,515,346,432/25,241,532,172
  6. Step 6: Final answer
    x = 115,457,285,827.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.