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Finding the Third Proportional to 1,271,036,797 and 2,742,721,610

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Solution

The third proportional to 1,271,036,797 and 2,742,721,610 is: 5,918,413,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,797 : 2,742,721,610 = 2,742,721,610 : x
  2. Step 2: Convert to fraction form
    1,271,036,797/2,742,721,610 = 2,742,721,610/x
  3. Step 3: Cross multiply
    1,271,036,797x = 2,742,721,610 × 2,742,721,610
  4. Step 4: Simplify right side
    1,271,036,797x = 7,522,521,829,960,991,744
  5. Step 5: Solve for x
    x = 7,522,521,829,960,991,744/1,271,036,797
  6. Step 6: Final answer
    x = 5,918,413,886.77

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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.