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Finding the Third Proportional to 8,896,324 and 19,423,908

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Solution

The third proportional to 8,896,324 and 19,423,908 is: 42,409,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,324 : 19,423,908 = 19,423,908 : x
  2. Step 2: Convert to fraction form
    8,896,324/19,423,908 = 19,423,908/x
  3. Step 3: Cross multiply
    8,896,324x = 19,423,908 × 19,423,908
  4. Step 4: Simplify right side
    8,896,324x = 377,288,201,992,464
  5. Step 5: Solve for x
    x = 377,288,201,992,464/8,896,324
  6. Step 6: Final answer
    x = 42,409,449.34

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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.