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Finding the Third Proportional to 4,733,214 and 10,367,408

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Solution

The third proportional to 4,733,214 and 10,367,408 is: 22,708,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733,214 : 10,367,408 = 10,367,408 : x
  2. Step 2: Convert to fraction form
    4,733,214/10,367,408 = 10,367,408/x
  3. Step 3: Cross multiply
    4,733,214x = 10,367,408 × 10,367,408
  4. Step 4: Simplify right side
    4,733,214x = 107,483,148,638,464
  5. Step 5: Solve for x
    x = 107,483,148,638,464/4,733,214
  6. Step 6: Final answer
    x = 22,708,279.96

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