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Finding the Third Proportional to 12,138,346 and 26,003,729

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Solution

The third proportional to 12,138,346 and 26,003,729 is: 55,707,253.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138,346 : 26,003,729 = 26,003,729 : x
  2. Step 2: Convert to fraction form
    12,138,346/26,003,729 = 26,003,729/x
  3. Step 3: Cross multiply
    12,138,346x = 26,003,729 × 26,003,729
  4. Step 4: Simplify right side
    12,138,346x = 676,193,921,905,441
  5. Step 5: Solve for x
    x = 676,193,921,905,441/12,138,346
  6. Step 6: Final answer
    x = 55,707,253.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.