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Finding the Third Proportional to 1,744,406,739 and 3,827,751,057

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Solution

The third proportional to 1,744,406,739 and 3,827,751,057 is: 8,399,232,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,406,739 : 3,827,751,057 = 3,827,751,057 : x
  2. Step 2: Convert to fraction form
    1,744,406,739/3,827,751,057 = 3,827,751,057/x
  3. Step 3: Cross multiply
    1,744,406,739x = 3,827,751,057 × 3,827,751,057
  4. Step 4: Simplify right side
    1,744,406,739x = 14,651,678,154,364,616,704
  5. Step 5: Solve for x
    x = 14,651,678,154,364,616,704/1,744,406,739
  6. Step 6: Final answer
    x = 8,399,232,717.23

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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.