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Finding the Third Proportional to 2,099,389,632 and 4,510,333,776

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Solution

The third proportional to 2,099,389,632 and 4,510,333,776 is: 9,690,012,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,389,632 : 4,510,333,776 = 4,510,333,776 : x
  2. Step 2: Convert to fraction form
    2,099,389,632/4,510,333,776 = 4,510,333,776/x
  3. Step 3: Cross multiply
    2,099,389,632x = 4,510,333,776 × 4,510,333,776
  4. Step 4: Simplify right side
    2,099,389,632x = 20,343,110,770,926,419,968
  5. Step 5: Solve for x
    x = 20,343,110,770,926,419,968/2,099,389,632
  6. Step 6: Final answer
    x = 9,690,012,021.04

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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.