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Finding the Third Proportional to 1,744,406,956 and 3,827,751,448

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Solution

The third proportional to 1,744,406,956 and 3,827,751,448 is: 8,399,233,388.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,406,956 : 3,827,751,448 = 3,827,751,448 : x
  2. Step 2: Convert to fraction form
    1,744,406,956/3,827,751,448 = 3,827,751,448/x
  3. Step 3: Cross multiply
    1,744,406,956x = 3,827,751,448 × 3,827,751,448
  4. Step 4: Simplify right side
    1,744,406,956x = 14,651,681,147,666,096,128
  5. Step 5: Solve for x
    x = 14,651,681,147,666,096,128/1,744,406,956
  6. Step 6: Final answer
    x = 8,399,233,388.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.