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Finding the Third Proportional to 3,899,484 and 8,415,514.50

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Solution

The third proportional to 3,899,484 and 8,415,514.50 is: 18,161,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899,484 : 8,415,514.50 = 8,415,514.50 : x
  2. Step 2: Convert to fraction form
    3,899,484/8,415,514.50 = 8,415,514.50/x
  3. Step 3: Cross multiply
    3,899,484x = 8,415,514.50 × 8,415,514.50
  4. Step 4: Simplify right side
    3,899,484x = 70,820,884,299,710.25
  5. Step 5: Solve for x
    x = 70,820,884,299,710.25/3,899,484
  6. Step 6: Final answer
    x = 18,161,604.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.