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Finding the Third Proportional to 821,808,882 and 1,759,978,800

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Solution

The third proportional to 821,808,882 and 1,759,978,800 is: 3,769,155,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,808,882 : 1,759,978,800 = 1,759,978,800 : x
  2. Step 2: Convert to fraction form
    821,808,882/1,759,978,800 = 1,759,978,800/x
  3. Step 3: Cross multiply
    821,808,882x = 1,759,978,800 × 1,759,978,800
  4. Step 4: Simplify right side
    821,808,882x = 3,097,525,376,449,439,744
  5. Step 5: Solve for x
    x = 3,097,525,376,449,439,744/821,808,882
  6. Step 6: Final answer
    x = 3,769,155,389.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.