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Finding the Third Proportional to 233,233,438 and 510,394,796

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Solution

The third proportional to 233,233,438 and 510,394,796 is: 1,116,918,954.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,438 : 510,394,796 = 510,394,796 : x
  2. Step 2: Convert to fraction form
    233,233,438/510,394,796 = 510,394,796/x
  3. Step 3: Cross multiply
    233,233,438x = 510,394,796 × 510,394,796
  4. Step 4: Simplify right side
    233,233,438x = 260,502,847,783,881,600
  5. Step 5: Solve for x
    x = 260,502,847,783,881,600/233,233,438
  6. Step 6: Final answer
    x = 1,116,918,954.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.