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Finding the Third Proportional to 229,943,272,620 and 503,234,327,436

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Solution

The third proportional to 229,943,272,620 and 503,234,327,436 is: 1,101,335,931,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,943,272,620 : 503,234,327,436 = 503,234,327,436 : x
  2. Step 2: Convert to fraction form
    229,943,272,620/503,234,327,436 = 503,234,327,436/x
  3. Step 3: Cross multiply
    229,943,272,620x = 503,234,327,436 × 503,234,327,436
  4. Step 4: Simplify right side
    229,943,272,620x = 253,244,788,309,963,252,432,896
  5. Step 5: Solve for x
    x = 253,244,788,309,963,252,432,896/229,943,272,620
  6. Step 6: Final answer
    x = 1,101,335,931,355.87

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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.