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Finding the Third Proportional to 317,405,193 and 687,778,062

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Solution

The third proportional to 317,405,193 and 687,778,062 is: 1,490,330,571.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,405,193 : 687,778,062 = 687,778,062 : x
  2. Step 2: Convert to fraction form
    317,405,193/687,778,062 = 687,778,062/x
  3. Step 3: Cross multiply
    317,405,193x = 687,778,062 × 687,778,062
  4. Step 4: Simplify right side
    317,405,193x = 473,038,662,568,475,840
  5. Step 5: Solve for x
    x = 473,038,662,568,475,840/317,405,193
  6. Step 6: Final answer
    x = 1,490,330,571.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.