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Finding the Third Proportional to 229,943,272,622 and 503,234,327,440

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Solution

The third proportional to 229,943,272,622 and 503,234,327,440 is: 1,101,335,931,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,943,272,622 : 503,234,327,440 = 503,234,327,440 : x
  2. Step 2: Convert to fraction form
    229,943,272,622/503,234,327,440 = 503,234,327,440/x
  3. Step 3: Cross multiply
    229,943,272,622x = 503,234,327,440 × 503,234,327,440
  4. Step 4: Simplify right side
    229,943,272,622x = 253,244,788,313,989,146,738,688
  5. Step 5: Solve for x
    x = 253,244,788,313,989,146,738,688/229,943,272,622
  6. Step 6: Final answer
    x = 1,101,335,931,363.79

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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.