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Finding the Third Proportional to 5,737,855 and 12,602,922

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Solution

The third proportional to 5,737,855 and 12,602,922 is: 27,681,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737,855 : 12,602,922 = 12,602,922 : x
  2. Step 2: Convert to fraction form
    5,737,855/12,602,922 = 12,602,922/x
  3. Step 3: Cross multiply
    5,737,855x = 12,602,922 × 12,602,922
  4. Step 4: Simplify right side
    5,737,855x = 158,833,642,938,084
  5. Step 5: Solve for x
    x = 158,833,642,938,084/5,737,855
  6. Step 6: Final answer
    x = 27,681,710.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.