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Finding the Third Proportional to 8,896,160 and 19,423,568

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Solution

The third proportional to 8,896,160 and 19,423,568 is: 42,408,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,160 : 19,423,568 = 19,423,568 : x
  2. Step 2: Convert to fraction form
    8,896,160/19,423,568 = 19,423,568/x
  3. Step 3: Cross multiply
    8,896,160x = 19,423,568 × 19,423,568
  4. Step 4: Simplify right side
    8,896,160x = 377,274,993,850,624
  5. Step 5: Solve for x
    x = 377,274,993,850,624/8,896,160
  6. Step 6: Final answer
    x = 42,408,746.45

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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.