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Finding the Third Proportional to 16,251,017 and 23,778,313

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Solution

The third proportional to 16,251,017 and 23,778,313 is: 34,792,171.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,251,017 : 23,778,313 = 23,778,313 : x
  2. Step 2: Convert to fraction form
    16,251,017/23,778,313 = 23,778,313/x
  3. Step 3: Cross multiply
    16,251,017x = 23,778,313 × 23,778,313
  4. Step 4: Simplify right side
    16,251,017x = 565,408,169,125,969
  5. Step 5: Solve for x
    x = 565,408,169,125,969/16,251,017
  6. Step 6: Final answer
    x = 34,792,171.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.