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Finding the Third Proportional to 27,386,370 and 42,383,385

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Solution

The third proportional to 27,386,370 and 42,383,385 is: 65,592,896.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,386,370 : 42,383,385 = 42,383,385 : x
  2. Step 2: Convert to fraction form
    27,386,370/42,383,385 = 42,383,385/x
  3. Step 3: Cross multiply
    27,386,370x = 42,383,385 × 42,383,385
  4. Step 4: Simplify right side
    27,386,370x = 1,796,351,324,058,225
  5. Step 5: Solve for x
    x = 1,796,351,324,058,225/27,386,370
  6. Step 6: Final answer
    x = 65,592,896.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.