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Finding the Third Proportional to 7,897,046 and 17,247,412

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Solution

The third proportional to 7,897,046 and 17,247,412 is: 37,668,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897,046 : 17,247,412 = 17,247,412 : x
  2. Step 2: Convert to fraction form
    7,897,046/17,247,412 = 17,247,412/x
  3. Step 3: Cross multiply
    7,897,046x = 17,247,412 × 17,247,412
  4. Step 4: Simplify right side
    7,897,046x = 297,473,220,697,744
  5. Step 5: Solve for x
    x = 297,473,220,697,744/7,897,046
  6. Step 6: Final answer
    x = 37,668,923.38

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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.