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Finding the Third Proportional to 3,992,849,244 and 6,207,016,203

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Solution

The third proportional to 3,992,849,244 and 6,207,016,203 is: 9,649,011,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992,849,244 : 6,207,016,203 = 6,207,016,203 : x
  2. Step 2: Convert to fraction form
    3,992,849,244/6,207,016,203 = 6,207,016,203/x
  3. Step 3: Cross multiply
    3,992,849,244x = 6,207,016,203 × 6,207,016,203
  4. Step 4: Simplify right side
    3,992,849,244x = 38,527,050,144,304,537,600
  5. Step 5: Solve for x
    x = 38,527,050,144,304,537,600/3,992,849,244
  6. Step 6: Final answer
    x = 9,649,011,968.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.