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Finding the Third Proportional to 12,294,519 and 27,064,468

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Solution

The third proportional to 12,294,519 and 27,064,468 is: 59,578,209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,519 : 27,064,468 = 27,064,468 : x
  2. Step 2: Convert to fraction form
    12,294,519/27,064,468 = 27,064,468/x
  3. Step 3: Cross multiply
    12,294,519x = 27,064,468 × 27,064,468
  4. Step 4: Simplify right side
    12,294,519x = 732,485,428,123,024
  5. Step 5: Solve for x
    x = 732,485,428,123,024/12,294,519
  6. Step 6: Final answer
    x = 59,578,209.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.