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Finding the Third Proportional to 3,992,849,247 and 6,207,016,207.50

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Solution

The third proportional to 3,992,849,247 and 6,207,016,207.50 is: 9,649,011,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992,849,247 : 6,207,016,207.50 = 6,207,016,207.50 : x
  2. Step 2: Convert to fraction form
    3,992,849,247/6,207,016,207.50 = 6,207,016,207.50/x
  3. Step 3: Cross multiply
    3,992,849,247x = 6,207,016,207.50 × 6,207,016,207.50
  4. Step 4: Simplify right side
    3,992,849,247x = 38,527,050,200,167,686,144
  5. Step 5: Solve for x
    x = 38,527,050,200,167,686,144/3,992,849,247
  6. Step 6: Final answer
    x = 9,649,011,975.37

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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.