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Finding the Third Proportional to 2,540,499,349 and 5,503,151,072

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Solution

The third proportional to 2,540,499,349 and 5,503,151,072 is: 11,920,755,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540,499,349 : 5,503,151,072 = 5,503,151,072 : x
  2. Step 2: Convert to fraction form
    2,540,499,349/5,503,151,072 = 5,503,151,072/x
  3. Step 3: Cross multiply
    2,540,499,349x = 5,503,151,072 × 5,503,151,072
  4. Step 4: Simplify right side
    2,540,499,349x = 30,284,671,721,254,748,160
  5. Step 5: Solve for x
    x = 30,284,671,721,254,748,160/2,540,499,349
  6. Step 6: Final answer
    x = 11,920,755,552.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.