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Finding the Third Proportional to 233,233,360 and 539,949,928

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Solution

The third proportional to 233,233,360 and 539,949,928 is: 1,250,018,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,360 : 539,949,928 = 539,949,928 : x
  2. Step 2: Convert to fraction form
    233,233,360/539,949,928 = 539,949,928/x
  3. Step 3: Cross multiply
    233,233,360x = 539,949,928 × 539,949,928
  4. Step 4: Simplify right side
    233,233,360x = 291,545,924,747,205,184
  5. Step 5: Solve for x
    x = 291,545,924,747,205,184/233,233,360
  6. Step 6: Final answer
    x = 1,250,018,113.82

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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.