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Finding the Third Proportional to 8,896,104 and 19,423,440

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Solution

The third proportional to 8,896,104 and 19,423,440 is: 42,408,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,104 : 19,423,440 = 19,423,440 : x
  2. Step 2: Convert to fraction form
    8,896,104/19,423,440 = 19,423,440/x
  3. Step 3: Cross multiply
    8,896,104x = 19,423,440 × 19,423,440
  4. Step 4: Simplify right side
    8,896,104x = 377,270,021,433,600
  5. Step 5: Solve for x
    x = 377,270,021,433,600/8,896,104
  6. Step 6: Final answer
    x = 42,408,454.47

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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.