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Finding the Third Proportional to 233,233,436 and 510,394,792

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Solution

The third proportional to 233,233,436 and 510,394,792 is: 1,116,918,946.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,233,436 : 510,394,792 = 510,394,792 : x
  2. Step 2: Convert to fraction form
    233,233,436/510,394,792 = 510,394,792/x
  3. Step 3: Cross multiply
    233,233,436x = 510,394,792 × 510,394,792
  4. Step 4: Simplify right side
    233,233,436x = 260,502,843,700,723,264
  5. Step 5: Solve for x
    x = 260,502,843,700,723,264/233,233,436
  6. Step 6: Final answer
    x = 1,116,918,946.82

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