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Finding the Third Proportional to 1,744,406,730 and 3,827,751,034.50

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Solution

The third proportional to 1,744,406,730 and 3,827,751,034.50 is: 8,399,232,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,406,730 : 3,827,751,034.50 = 3,827,751,034.50 : x
  2. Step 2: Convert to fraction form
    1,744,406,730/3,827,751,034.50 = 3,827,751,034.50/x
  3. Step 3: Cross multiply
    1,744,406,730x = 3,827,751,034.50 × 3,827,751,034.50
  4. Step 4: Simplify right side
    1,744,406,730x = 14,651,677,982,115,819,520
  5. Step 5: Solve for x
    x = 14,651,677,982,115,819,520/1,744,406,730
  6. Step 6: Final answer
    x = 8,399,232,661.82

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