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Finding the Third Proportional to 27,546,776 and 41,176,226

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Solution

The third proportional to 27,546,776 and 41,176,226 is: 61,549,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,546,776 : 41,176,226 = 41,176,226 : x
  2. Step 2: Convert to fraction form
    27,546,776/41,176,226 = 41,176,226/x
  3. Step 3: Cross multiply
    27,546,776x = 41,176,226 × 41,176,226
  4. Step 4: Simplify right side
    27,546,776x = 1,695,481,587,603,076
  5. Step 5: Solve for x
    x = 1,695,481,587,603,076/27,546,776
  6. Step 6: Final answer
    x = 61,549,184.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.