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Finding the Third Proportional to 12,337,368.75 and 26,731,964.25

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Solution

The third proportional to 12,337,368.75 and 26,731,964.25 is: 57,921,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337,368.75 : 26,731,964.25 = 26,731,964.25 : x
  2. Step 2: Convert to fraction form
    12,337,368.75/26,731,964.25 = 26,731,964.25/x
  3. Step 3: Cross multiply
    12,337,368.75x = 26,731,964.25 × 26,731,964.25
  4. Step 4: Simplify right side
    12,337,368.75x = 714,597,912,663,278
  5. Step 5: Solve for x
    x = 714,597,912,663,278/12,337,368.75
  6. Step 6: Final answer
    x = 57,921,419.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.