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Finding the Third Proportional to 2,198,307.09 and 4,772,611.13

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Solution

The third proportional to 2,198,307.09 and 4,772,611.13 is: 10,361,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198,307.09 : 4,772,611.13 = 4,772,611.13 : x
  2. Step 2: Convert to fraction form
    2,198,307.09/4,772,611.13 = 4,772,611.13/x
  3. Step 3: Cross multiply
    2,198,307.09x = 4,772,611.13 × 4,772,611.13
  4. Step 4: Simplify right side
    2,198,307.09x = 22,777,816,950,473.77
  5. Step 5: Solve for x
    x = 22,777,816,950,473.77/2,198,307.09
  6. Step 6: Final answer
    x = 10,361,526.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.