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Finding the Third Proportional to 12,120,386 and 26,163,691

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Solution

The third proportional to 12,120,386 and 26,163,691 is: 56,478,294.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,120,386 : 26,163,691 = 26,163,691 : x
  2. Step 2: Convert to fraction form
    12,120,386/26,163,691 = 26,163,691/x
  3. Step 3: Cross multiply
    12,120,386x = 26,163,691 × 26,163,691
  4. Step 4: Simplify right side
    12,120,386x = 684,538,726,743,481
  5. Step 5: Solve for x
    x = 684,538,726,743,481/12,120,386
  6. Step 6: Final answer
    x = 56,478,294.23

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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.