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Finding the Third Proportional to 233,233,432 and 539,950,106

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Solution

The third proportional to 233,233,432 and 539,950,106 is: 1,250,018,552.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,432 : 539,950,106 = 539,950,106 : x
  2. Step 2: Convert to fraction form
    233,233,432/539,950,106 = 539,950,106/x
  3. Step 3: Cross multiply
    233,233,432x = 539,950,106 × 539,950,106
  4. Step 4: Simplify right side
    233,233,432x = 291,546,116,969,411,264
  5. Step 5: Solve for x
    x = 291,546,116,969,411,264/233,233,432
  6. Step 6: Final answer
    x = 1,250,018,552.10

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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.