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Finding the Third Proportional to 27,066,924 and 41,974,767

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Solution

The third proportional to 27,066,924 and 41,974,767 is: 65,093,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066,924 : 41,974,767 = 41,974,767 : x
  2. Step 2: Convert to fraction form
    27,066,924/41,974,767 = 41,974,767/x
  3. Step 3: Cross multiply
    27,066,924x = 41,974,767 × 41,974,767
  4. Step 4: Simplify right side
    27,066,924x = 1,761,881,064,704,289
  5. Step 5: Solve for x
    x = 1,761,881,064,704,289/27,066,924
  6. Step 6: Final answer
    x = 65,093,509.14

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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.