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Finding the Third Proportional to 12,736,202 and 27,974,464

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Solution

The third proportional to 12,736,202 and 27,974,464 is: 61,444,584.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,736,202 : 27,974,464 = 27,974,464 : x
  2. Step 2: Convert to fraction form
    12,736,202/27,974,464 = 27,974,464/x
  3. Step 3: Cross multiply
    12,736,202x = 27,974,464 × 27,974,464
  4. Step 4: Simplify right side
    12,736,202x = 782,570,636,087,296
  5. Step 5: Solve for x
    x = 782,570,636,087,296/12,736,202
  6. Step 6: Final answer
    x = 61,444,584.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.