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Finding the Third Proportional to 2,663,210 and 5,752,056

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Solution

The third proportional to 2,663,210 and 5,752,056 is: 12,423,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663,210 : 5,752,056 = 5,752,056 : x
  2. Step 2: Convert to fraction form
    2,663,210/5,752,056 = 5,752,056/x
  3. Step 3: Cross multiply
    2,663,210x = 5,752,056 × 5,752,056
  4. Step 4: Simplify right side
    2,663,210x = 33,086,148,227,136
  5. Step 5: Solve for x
    x = 33,086,148,227,136/2,663,210
  6. Step 6: Final answer
    x = 12,423,409.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.