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Finding the Third Proportional to 2,099,389,932 and 4,510,335,000

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Solution

The third proportional to 2,099,389,932 and 4,510,335,000 is: 9,690,015,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,389,932 : 4,510,335,000 = 4,510,335,000 : x
  2. Step 2: Convert to fraction form
    2,099,389,932/4,510,335,000 = 4,510,335,000/x
  3. Step 3: Cross multiply
    2,099,389,932x = 4,510,335,000 × 4,510,335,000
  4. Step 4: Simplify right side
    2,099,389,932x = 20,343,121,812,224,999,424
  5. Step 5: Solve for x
    x = 20,343,121,812,224,999,424/2,099,389,932
  6. Step 6: Final answer
    x = 9,690,015,895.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.