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Finding the Third Proportional to 3,614,965,998 and 5,586,044,265

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Solution

The third proportional to 3,614,965,998 and 5,586,044,265 is: 8,631,862,802.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614,965,998 : 5,586,044,265 = 5,586,044,265 : x
  2. Step 2: Convert to fraction form
    3,614,965,998/5,586,044,265 = 5,586,044,265/x
  3. Step 3: Cross multiply
    3,614,965,998x = 5,586,044,265 × 5,586,044,265
  4. Step 4: Simplify right side
    3,614,965,998x = 31,203,890,530,539,388,928
  5. Step 5: Solve for x
    x = 31,203,890,530,539,388,928/3,614,965,998
  6. Step 6: Final answer
    x = 8,631,862,802.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.