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Finding the Third Proportional to 16,259,071.78 and 23,939,498.11

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Solution

The third proportional to 16,259,071.78 and 23,939,498.11 is: 35,247,988.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259,071.78 : 23,939,498.11 = 23,939,498.11 : x
  2. Step 2: Convert to fraction form
    16,259,071.78/23,939,498.11 = 23,939,498.11/x
  3. Step 3: Cross multiply
    16,259,071.78x = 23,939,498.11 × 23,939,498.11
  4. Step 4: Simplify right side
    16,259,071.78x = 573,099,569,728,769.25
  5. Step 5: Solve for x
    x = 573,099,569,728,769.25/16,259,071.78
  6. Step 6: Final answer
    x = 35,247,988.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.