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Finding the Third Proportional to 7,462,588 and 15,821,982

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Solution

The third proportional to 7,462,588 and 15,821,982 is: 33,545,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,462,588 : 15,821,982 = 15,821,982 : x
  2. Step 2: Convert to fraction form
    7,462,588/15,821,982 = 15,821,982/x
  3. Step 3: Cross multiply
    7,462,588x = 15,821,982 × 15,821,982
  4. Step 4: Simplify right side
    7,462,588x = 250,335,114,408,324
  5. Step 5: Solve for x
    x = 250,335,114,408,324/7,462,588
  6. Step 6: Final answer
    x = 33,545,348.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.