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Finding the Third Proportional to 1,994,049,900 and 4,615,864,683.75

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Solution

The third proportional to 1,994,049,900 and 4,615,864,683.75 is: 10,684,891,475.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,049,900 : 4,615,864,683.75 = 4,615,864,683.75 : x
  2. Step 2: Convert to fraction form
    1,994,049,900/4,615,864,683.75 = 4,615,864,683.75/x
  3. Step 3: Cross multiply
    1,994,049,900x = 4,615,864,683.75 × 4,615,864,683.75
  4. Step 4: Simplify right side
    1,994,049,900x = 21,306,206,778,690,486,272
  5. Step 5: Solve for x
    x = 21,306,206,778,690,486,272/1,994,049,900
  6. Step 6: Final answer
    x = 10,684,891,475.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.