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Finding the Third Proportional to 16,467,236,306 and 25,444,610,331

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Solution

The third proportional to 16,467,236,306 and 25,444,610,331 is: 39,316,141,632.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467,236,306 : 25,444,610,331 = 25,444,610,331 : x
  2. Step 2: Convert to fraction form
    16,467,236,306/25,444,610,331 = 25,444,610,331/x
  3. Step 3: Cross multiply
    16,467,236,306x = 25,444,610,331 × 25,444,610,331
  4. Step 4: Simplify right side
    16,467,236,306x = 647,428,194,896,431,939,584
  5. Step 5: Solve for x
    x = 647,428,194,896,431,939,584/16,467,236,306
  6. Step 6: Final answer
    x = 39,316,141,632.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.