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Finding the Third Proportional to 8,468,664 and 18,029,748

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Solution

The third proportional to 8,468,664 and 18,029,748 is: 38,385,253.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468,664 : 18,029,748 = 18,029,748 : x
  2. Step 2: Convert to fraction form
    8,468,664/18,029,748 = 18,029,748/x
  3. Step 3: Cross multiply
    8,468,664x = 18,029,748 × 18,029,748
  4. Step 4: Simplify right side
    8,468,664x = 325,071,812,943,504
  5. Step 5: Solve for x
    x = 325,071,812,943,504/8,468,664
  6. Step 6: Final answer
    x = 38,385,253.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.