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Finding the Third Proportional to 3,638,782,046 and 5,589,614,307

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Solution

The third proportional to 3,638,782,046 and 5,589,614,307 is: 8,586,331,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,782,046 : 5,589,614,307 = 5,589,614,307 : x
  2. Step 2: Convert to fraction form
    3,638,782,046/5,589,614,307 = 5,589,614,307/x
  3. Step 3: Cross multiply
    3,638,782,046x = 5,589,614,307 × 5,589,614,307
  4. Step 4: Simplify right side
    3,638,782,046x = 31,243,788,101,019,090,944
  5. Step 5: Solve for x
    x = 31,243,788,101,019,090,944/3,638,782,046
  6. Step 6: Final answer
    x = 8,586,331,279.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.