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Finding the Third Proportional to 4,173,184 and 9,143,408

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Solution

The third proportional to 4,173,184 and 9,143,408 is: 20,033,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,173,184 : 9,143,408 = 9,143,408 : x
  2. Step 2: Convert to fraction form
    4,173,184/9,143,408 = 9,143,408/x
  3. Step 3: Cross multiply
    4,173,184x = 9,143,408 × 9,143,408
  4. Step 4: Simplify right side
    4,173,184x = 83,601,909,854,464
  5. Step 5: Solve for x
    x = 83,601,909,854,464/4,173,184
  6. Step 6: Final answer
    x = 20,033,123.35

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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.