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Finding the Third Proportional to 2,708,204,606 and 3,742,123,534

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Solution

The third proportional to 2,708,204,606 and 3,742,123,534 is: 5,170,764,613.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,204,606 : 3,742,123,534 = 3,742,123,534 : x
  2. Step 2: Convert to fraction form
    2,708,204,606/3,742,123,534 = 3,742,123,534/x
  3. Step 3: Cross multiply
    2,708,204,606x = 3,742,123,534 × 3,742,123,534
  4. Step 4: Simplify right side
    2,708,204,606x = 14,003,488,543,716,648,960
  5. Step 5: Solve for x
    x = 14,003,488,543,716,648,960/2,708,204,606
  6. Step 6: Final answer
    x = 5,170,764,613.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.