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Finding the Third Proportional to 12,877,080 and 27,289,434

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Solution

The third proportional to 12,877,080 and 27,289,434 is: 57,832,459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877,080 : 27,289,434 = 27,289,434 : x
  2. Step 2: Convert to fraction form
    12,877,080/27,289,434 = 27,289,434/x
  3. Step 3: Cross multiply
    12,877,080x = 27,289,434 × 27,289,434
  4. Step 4: Simplify right side
    12,877,080x = 744,713,208,040,356
  5. Step 5: Solve for x
    x = 744,713,208,040,356/12,877,080
  6. Step 6: Final answer
    x = 57,832,459.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.