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Finding the Third Proportional to 5,530,026 and 12,029,454

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Solution

The third proportional to 5,530,026 and 12,029,454 is: 26,167,646.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530,026 : 12,029,454 = 12,029,454 : x
  2. Step 2: Convert to fraction form
    5,530,026/12,029,454 = 12,029,454/x
  3. Step 3: Cross multiply
    5,530,026x = 12,029,454 × 12,029,454
  4. Step 4: Simplify right side
    5,530,026x = 144,707,763,538,116
  5. Step 5: Solve for x
    x = 144,707,763,538,116/5,530,026
  6. Step 6: Final answer
    x = 26,167,646.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.