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Finding the Third Proportional to 12,883,080 and 27,257,140.50

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Solution

The third proportional to 12,883,080 and 27,257,140.50 is: 57,668,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883,080 : 27,257,140.50 = 27,257,140.50 : x
  2. Step 2: Convert to fraction form
    12,883,080/27,257,140.50 = 27,257,140.50/x
  3. Step 3: Cross multiply
    12,883,080x = 27,257,140.50 × 27,257,140.50
  4. Step 4: Simplify right side
    12,883,080x = 742,951,708,236,740.25
  5. Step 5: Solve for x
    x = 742,951,708,236,740.25/12,883,080
  6. Step 6: Final answer
    x = 57,668,795.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.