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Finding the Third Proportional to 34,910,526 and 73,438,836

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Solution

The third proportional to 34,910,526 and 73,438,836 is: 154,488,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,910,526 : 73,438,836 = 73,438,836 : x
  2. Step 2: Convert to fraction form
    34,910,526/73,438,836 = 73,438,836/x
  3. Step 3: Cross multiply
    34,910,526x = 73,438,836 × 73,438,836
  4. Step 4: Simplify right side
    34,910,526x = 5,393,262,633,034,896
  5. Step 5: Solve for x
    x = 5,393,262,633,034,896/34,910,526
  6. Step 6: Final answer
    x = 154,488,151.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.