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Finding the Third Proportional to 7,500,270 and 16,363,462

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Solution

The third proportional to 7,500,270 and 16,363,462 is: 35,700,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500,270 : 16,363,462 = 16,363,462 : x
  2. Step 2: Convert to fraction form
    7,500,270/16,363,462 = 16,363,462/x
  3. Step 3: Cross multiply
    7,500,270x = 16,363,462 × 16,363,462
  4. Step 4: Simplify right side
    7,500,270x = 267,762,888,625,444
  5. Step 5: Solve for x
    x = 267,762,888,625,444/7,500,270
  6. Step 6: Final answer
    x = 35,700,433.27

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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.