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Finding the Third Proportional to 229,943,272,624 and 503,234,327,444

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Solution

The third proportional to 229,943,272,624 and 503,234,327,444 is: 1,101,335,931,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,943,272,624 : 503,234,327,444 = 503,234,327,444 : x
  2. Step 2: Convert to fraction form
    229,943,272,624/503,234,327,444 = 503,234,327,444/x
  3. Step 3: Cross multiply
    229,943,272,624x = 503,234,327,444 × 503,234,327,444
  4. Step 4: Simplify right side
    229,943,272,624x = 253,244,788,318,015,007,490,048
  5. Step 5: Solve for x
    x = 253,244,788,318,015,007,490,048/229,943,272,624
  6. Step 6: Final answer
    x = 1,101,335,931,371.72

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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.