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Finding the Third Proportional to 34,330,714 and 48,114,408

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Solution

The third proportional to 34,330,714 and 48,114,408 is: 67,432,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,330,714 : 48,114,408 = 48,114,408 : x
  2. Step 2: Convert to fraction form
    34,330,714/48,114,408 = 48,114,408/x
  3. Step 3: Cross multiply
    34,330,714x = 48,114,408 × 48,114,408
  4. Step 4: Simplify right side
    34,330,714x = 2,314,996,257,190,464
  5. Step 5: Solve for x
    x = 2,314,996,257,190,464/34,330,714
  6. Step 6: Final answer
    x = 67,432,219.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.