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Finding the Third Proportional to 1,271,036,791 and 2,742,721,598

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Solution

The third proportional to 1,271,036,791 and 2,742,721,598 is: 5,918,413,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,791 : 2,742,721,598 = 2,742,721,598 : x
  2. Step 2: Convert to fraction form
    1,271,036,791/2,742,721,598 = 2,742,721,598/x
  3. Step 3: Cross multiply
    1,271,036,791x = 2,742,721,598 × 2,742,721,598
  4. Step 4: Simplify right side
    1,271,036,791x = 7,522,521,764,135,673,856
  5. Step 5: Solve for x
    x = 7,522,521,764,135,673,856/1,271,036,791
  6. Step 6: Final answer
    x = 5,918,413,862.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.