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Finding the Third Proportional to 1,271,036,789 and 2,742,721,593

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Solution

The third proportional to 1,271,036,789 and 2,742,721,593 is: 5,918,413,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,789 : 2,742,721,593 = 2,742,721,593 : x
  2. Step 2: Convert to fraction form
    1,271,036,789/2,742,721,593 = 2,742,721,593/x
  3. Step 3: Cross multiply
    1,271,036,789x = 2,742,721,593 × 2,742,721,593
  4. Step 4: Simplify right side
    1,271,036,789x = 7,522,521,736,708,457,472
  5. Step 5: Solve for x
    x = 7,522,521,736,708,457,472/1,271,036,789
  6. Step 6: Final answer
    x = 5,918,413,850.65

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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.