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Finding the Third Proportional to 6,577,022 and 14,349,226

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Solution

The third proportional to 6,577,022 and 14,349,226 is: 31,306,005.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577,022 : 14,349,226 = 14,349,226 : x
  2. Step 2: Convert to fraction form
    6,577,022/14,349,226 = 14,349,226/x
  3. Step 3: Cross multiply
    6,577,022x = 14,349,226 × 14,349,226
  4. Step 4: Simplify right side
    6,577,022x = 205,900,286,799,076
  5. Step 5: Solve for x
    x = 205,900,286,799,076/6,577,022
  6. Step 6: Final answer
    x = 31,306,005.48

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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.