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Finding the Third Proportional to 5,767,313 and 13,614,287

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Solution

The third proportional to 5,767,313 and 13,614,287 is: 32,137,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767,313 : 13,614,287 = 13,614,287 : x
  2. Step 2: Convert to fraction form
    5,767,313/13,614,287 = 13,614,287/x
  3. Step 3: Cross multiply
    5,767,313x = 13,614,287 × 13,614,287
  4. Step 4: Simplify right side
    5,767,313x = 185,348,810,518,369
  5. Step 5: Solve for x
    x = 185,348,810,518,369/5,767,313
  6. Step 6: Final answer
    x = 32,137,810.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.