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Finding the Third Proportional to 8,414,748 and 18,425,601

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Solution

The third proportional to 8,414,748 and 18,425,601 is: 40,346,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414,748 : 18,425,601 = 18,425,601 : x
  2. Step 2: Convert to fraction form
    8,414,748/18,425,601 = 18,425,601/x
  3. Step 3: Cross multiply
    8,414,748x = 18,425,601 × 18,425,601
  4. Step 4: Simplify right side
    8,414,748x = 339,502,772,211,201
  5. Step 5: Solve for x
    x = 339,502,772,211,201/8,414,748
  6. Step 6: Final answer
    x = 40,346,160.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.