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Finding the Third Proportional to 27,122,380 and 40,935,798

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Solution

The third proportional to 27,122,380 and 40,935,798 is: 61,784,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122,380 : 40,935,798 = 40,935,798 : x
  2. Step 2: Convert to fraction form
    27,122,380/40,935,798 = 40,935,798/x
  3. Step 3: Cross multiply
    27,122,380x = 40,935,798 × 40,935,798
  4. Step 4: Simplify right side
    27,122,380x = 1,675,739,557,896,804
  5. Step 5: Solve for x
    x = 1,675,739,557,896,804/27,122,380
  6. Step 6: Final answer
    x = 61,784,384.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.