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Finding the Third Proportional to 5,601,408 and 12,292,032

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Solution

The third proportional to 5,601,408 and 12,292,032 is: 26,974,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601,408 : 12,292,032 = 12,292,032 : x
  2. Step 2: Convert to fraction form
    5,601,408/12,292,032 = 12,292,032/x
  3. Step 3: Cross multiply
    5,601,408x = 12,292,032 × 12,292,032
  4. Step 4: Simplify right side
    5,601,408x = 151,094,050,689,024
  5. Step 5: Solve for x
    x = 151,094,050,689,024/5,601,408
  6. Step 6: Final answer
    x = 26,974,298.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.