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Finding the Third Proportional to 14,334,560 and 31,188,538

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Solution

The third proportional to 14,334,560 and 31,188,538 is: 67,858,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,334,560 : 31,188,538 = 31,188,538 : x
  2. Step 2: Convert to fraction form
    14,334,560/31,188,538 = 31,188,538/x
  3. Step 3: Cross multiply
    14,334,560x = 31,188,538 × 31,188,538
  4. Step 4: Simplify right side
    14,334,560x = 972,724,902,577,444
  5. Step 5: Solve for x
    x = 972,724,902,577,444/14,334,560
  6. Step 6: Final answer
    x = 67,858,720.64

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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.