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Finding the Third Proportional to 4,220,596,210 and 6,208,131,444

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Solution

The third proportional to 4,220,596,210 and 6,208,131,444 is: 9,131,623,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220,596,210 : 6,208,131,444 = 6,208,131,444 : x
  2. Step 2: Convert to fraction form
    4,220,596,210/6,208,131,444 = 6,208,131,444/x
  3. Step 3: Cross multiply
    4,220,596,210x = 6,208,131,444 × 6,208,131,444
  4. Step 4: Simplify right side
    4,220,596,210x = 38,540,896,025,981,526,016
  5. Step 5: Solve for x
    x = 38,540,896,025,981,526,016/4,220,596,210
  6. Step 6: Final answer
    x = 9,131,623,616.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.