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Finding the Third Proportional to 4,866,383,822 and 9,990,748,828

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Solution

The third proportional to 4,866,383,822 and 9,990,748,828 is: 20,511,136,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866,383,822 : 9,990,748,828 = 9,990,748,828 : x
  2. Step 2: Convert to fraction form
    4,866,383,822/9,990,748,828 = 9,990,748,828/x
  3. Step 3: Cross multiply
    4,866,383,822x = 9,990,748,828 × 9,990,748,828
  4. Step 4: Simplify right side
    4,866,383,822x = 99,815,062,144,183,369,728
  5. Step 5: Solve for x
    x = 99,815,062,144,183,369,728/4,866,383,822
  6. Step 6: Final answer
    x = 20,511,136,358.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.