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Finding the Third Proportional to 6,646,078 and 14,458,532

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Solution

The third proportional to 6,646,078 and 14,458,532 is: 31,454,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646,078 : 14,458,532 = 14,458,532 : x
  2. Step 2: Convert to fraction form
    6,646,078/14,458,532 = 14,458,532/x
  3. Step 3: Cross multiply
    6,646,078x = 14,458,532 × 14,458,532
  4. Step 4: Simplify right side
    6,646,078x = 209,049,147,595,024
  5. Step 5: Solve for x
    x = 209,049,147,595,024/6,646,078
  6. Step 6: Final answer
    x = 31,454,513.11

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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.