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Finding the Third Proportional to 1,271,036,785 and 2,742,721,586

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Solution

The third proportional to 1,271,036,785 and 2,742,721,586 is: 5,918,413,839.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,036,785 : 2,742,721,586 = 2,742,721,586 : x
  2. Step 2: Convert to fraction form
    1,271,036,785/2,742,721,586 = 2,742,721,586/x
  3. Step 3: Cross multiply
    1,271,036,785x = 2,742,721,586 × 2,742,721,586
  4. Step 4: Simplify right side
    1,271,036,785x = 7,522,521,698,310,354,944
  5. Step 5: Solve for x
    x = 7,522,521,698,310,354,944/1,271,036,785
  6. Step 6: Final answer
    x = 5,918,413,839.07

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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.