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Finding the Third Proportional to 8,896,100 and 19,423,429

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Solution

The third proportional to 8,896,100 and 19,423,429 is: 42,408,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896,100 : 19,423,429 = 19,423,429 : x
  2. Step 2: Convert to fraction form
    8,896,100/19,423,429 = 19,423,429/x
  3. Step 3: Cross multiply
    8,896,100x = 19,423,429 × 19,423,429
  4. Step 4: Simplify right side
    8,896,100x = 377,269,594,118,041
  5. Step 5: Solve for x
    x = 377,269,594,118,041/8,896,100
  6. Step 6: Final answer
    x = 42,408,425.50

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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.