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Finding the Third Proportional to 7,689,732.75 and 18,152,338.50

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Solution

The third proportional to 7,689,732.75 and 18,152,338.50 is: 42,850,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689,732.75 : 18,152,338.50 = 18,152,338.50 : x
  2. Step 2: Convert to fraction form
    7,689,732.75/18,152,338.50 = 18,152,338.50/x
  3. Step 3: Cross multiply
    7,689,732.75x = 18,152,338.50 × 18,152,338.50
  4. Step 4: Simplify right side
    7,689,732.75x = 329,507,393,018,582.25
  5. Step 5: Solve for x
    x = 329,507,393,018,582.25/7,689,732.75
  6. Step 6: Final answer
    x = 42,850,304.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.