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Finding the Third Proportional to 34,601,106 and 48,670,799

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Solution

The third proportional to 34,601,106 and 48,670,799 is: 68,461,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,601,106 : 48,670,799 = 48,670,799 : x
  2. Step 2: Convert to fraction form
    34,601,106/48,670,799 = 48,670,799/x
  3. Step 3: Cross multiply
    34,601,106x = 48,670,799 × 48,670,799
  4. Step 4: Simplify right side
    34,601,106x = 2,368,846,675,298,401
  5. Step 5: Solve for x
    x = 2,368,846,675,298,401/34,601,106
  6. Step 6: Final answer
    x = 68,461,588.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.