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Finding the Third Proportional to 12,675,840 and 27,371,648

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Solution

The third proportional to 12,675,840 and 27,371,648 is: 59,105,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675,840 : 27,371,648 = 27,371,648 : x
  2. Step 2: Convert to fraction form
    12,675,840/27,371,648 = 27,371,648/x
  3. Step 3: Cross multiply
    12,675,840x = 27,371,648 × 27,371,648
  4. Step 4: Simplify right side
    12,675,840x = 749,207,114,235,904
  5. Step 5: Solve for x
    x = 749,207,114,235,904/12,675,840
  6. Step 6: Final answer
    x = 59,105,125.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.