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Finding the Third Proportional to 12,567,034,664 and 18,741,572,145

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Solution

The third proportional to 12,567,034,664 and 18,741,572,145 is: 27,949,833,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,567,034,664 : 18,741,572,145 = 18,741,572,145 : x
  2. Step 2: Convert to fraction form
    12,567,034,664/18,741,572,145 = 18,741,572,145/x
  3. Step 3: Cross multiply
    12,567,034,664x = 18,741,572,145 × 18,741,572,145
  4. Step 4: Simplify right side
    12,567,034,664x = 351,246,526,466,239,889,408
  5. Step 5: Solve for x
    x = 351,246,526,466,239,889,408/12,567,034,664
  6. Step 6: Final answer
    x = 27,949,833,501.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.