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Finding the Third Proportional to 233,233,683 and 539,950,732

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Solution

The third proportional to 233,233,683 and 539,950,732 is: 1,250,020,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,683 : 539,950,732 = 539,950,732 : x
  2. Step 2: Convert to fraction form
    233,233,683/539,950,732 = 539,950,732/x
  3. Step 3: Cross multiply
    233,233,683x = 539,950,732 × 539,950,732
  4. Step 4: Simplify right side
    233,233,683x = 291,546,792,987,335,808
  5. Step 5: Solve for x
    x = 291,546,792,987,335,808/233,233,683
  6. Step 6: Final answer
    x = 1,250,020,105.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.