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Finding the Third Proportional to 6,552,841 and 10,257,047

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Solution

The third proportional to 6,552,841 and 10,257,047 is: 16,055,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552,841 : 10,257,047 = 10,257,047 : x
  2. Step 2: Convert to fraction form
    6,552,841/10,257,047 = 10,257,047/x
  3. Step 3: Cross multiply
    6,552,841x = 10,257,047 × 10,257,047
  4. Step 4: Simplify right side
    6,552,841x = 105,207,013,160,209
  5. Step 5: Solve for x
    x = 105,207,013,160,209/6,552,841
  6. Step 6: Final answer
    x = 16,055,175.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.