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Finding the Third Proportional to 6,002,967,552 and 13,227,219,840

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Solution

The third proportional to 6,002,967,552 and 13,227,219,840 is: 29,145,475,663.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002,967,552 : 13,227,219,840 = 13,227,219,840 : x
  2. Step 2: Convert to fraction form
    6,002,967,552/13,227,219,840 = 13,227,219,840/x
  3. Step 3: Cross multiply
    6,002,967,552x = 13,227,219,840 × 13,227,219,840
  4. Step 4: Simplify right side
    6,002,967,552x = 174,959,344,695,689,609,216
  5. Step 5: Solve for x
    x = 174,959,344,695,689,609,216/6,002,967,552
  6. Step 6: Final answer
    x = 29,145,475,663.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.