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Finding the Third Proportional to 12,138,036.75 and 26,007,408

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Solution

The third proportional to 12,138,036.75 and 26,007,408 is: 55,724,437.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138,036.75 : 26,007,408 = 26,007,408 : x
  2. Step 2: Convert to fraction form
    12,138,036.75/26,007,408 = 26,007,408/x
  3. Step 3: Cross multiply
    12,138,036.75x = 26,007,408 × 26,007,408
  4. Step 4: Simplify right side
    12,138,036.75x = 676,385,270,878,464
  5. Step 5: Solve for x
    x = 676,385,270,878,464/12,138,036.75
  6. Step 6: Final answer
    x = 55,724,437.55

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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.