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Finding the Third Proportional to 34,535,857.50 and 51,750,582

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Solution

The third proportional to 34,535,857.50 and 51,750,582 is: 77,546,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,535,857.50 : 51,750,582 = 51,750,582 : x
  2. Step 2: Convert to fraction form
    34,535,857.50/51,750,582 = 51,750,582/x
  3. Step 3: Cross multiply
    34,535,857.50x = 51,750,582 × 51,750,582
  4. Step 4: Simplify right side
    34,535,857.50x = 2,678,122,737,338,724
  5. Step 5: Solve for x
    x = 2,678,122,737,338,724/34,535,857.50
  6. Step 6: Final answer
    x = 77,546,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.