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Finding the Third Proportional to 12,776,233.78 and 27,864,805.78

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Solution

The third proportional to 12,776,233.78 and 27,864,805.78 is: 60,772,792.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776,233.78 : 27,864,805.78 = 27,864,805.78 : x
  2. Step 2: Convert to fraction form
    12,776,233.78/27,864,805.78 = 27,864,805.78/x
  3. Step 3: Cross multiply
    12,776,233.78x = 27,864,805.78 × 27,864,805.78
  4. Step 4: Simplify right side
    12,776,233.78x = 776,447,401,226,783.38
  5. Step 5: Solve for x
    x = 776,447,401,226,783.38/12,776,233.78
  6. Step 6: Final answer
    x = 60,772,792.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.