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Finding the Third Proportional to 12,874,464 and 27,963,261

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Solution

The third proportional to 12,874,464 and 27,963,261 is: 60,736,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874,464 : 27,963,261 = 27,963,261 : x
  2. Step 2: Convert to fraction form
    12,874,464/27,963,261 = 27,963,261/x
  3. Step 3: Cross multiply
    12,874,464x = 27,963,261 × 27,963,261
  4. Step 4: Simplify right side
    12,874,464x = 781,943,965,754,121
  5. Step 5: Solve for x
    x = 781,943,965,754,121/12,874,464
  6. Step 6: Final answer
    x = 60,736,040.41

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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.