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Finding the Third Proportional to 6,173,982 and 13,233,948

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Solution

The third proportional to 6,173,982 and 13,233,948 is: 28,367,005.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,982 : 13,233,948 = 13,233,948 : x
  2. Step 2: Convert to fraction form
    6,173,982/13,233,948 = 13,233,948/x
  3. Step 3: Cross multiply
    6,173,982x = 13,233,948 × 13,233,948
  4. Step 4: Simplify right side
    6,173,982x = 175,137,379,666,704
  5. Step 5: Solve for x
    x = 175,137,379,666,704/6,173,982
  6. Step 6: Final answer
    x = 28,367,005.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.