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Finding the Third Proportional to 8,896,128 and 19,423,512

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Solution

The third proportional to 8,896,128 and 19,423,512 is: 42,408,654.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,128 : 19,423,512 = 19,423,512 : x
  2. Step 2: Convert to fraction form
    8,896,128/19,423,512 = 19,423,512/x
  3. Step 3: Cross multiply
    8,896,128x = 19,423,512 × 19,423,512
  4. Step 4: Simplify right side
    8,896,128x = 377,272,818,414,144
  5. Step 5: Solve for x
    x = 377,272,818,414,144/8,896,128
  6. Step 6: Final answer
    x = 42,408,654.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.