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Finding the Third Proportional to 14,778,945 and 23,534,384

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Solution

The third proportional to 14,778,945 and 23,534,384 is: 37,476,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778,945 : 23,534,384 = 23,534,384 : x
  2. Step 2: Convert to fraction form
    14,778,945/23,534,384 = 23,534,384/x
  3. Step 3: Cross multiply
    14,778,945x = 23,534,384 × 23,534,384
  4. Step 4: Simplify right side
    14,778,945x = 553,867,230,259,456
  5. Step 5: Solve for x
    x = 553,867,230,259,456/14,778,945
  6. Step 6: Final answer
    x = 37,476,777.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.