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Finding the Third Proportional to 785,797,568 and 1,309,583,686

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Solution

The third proportional to 785,797,568 and 1,309,583,686 is: 2,182,507,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785,797,568 : 1,309,583,686 = 1,309,583,686 : x
  2. Step 2: Convert to fraction form
    785,797,568/1,309,583,686 = 1,309,583,686/x
  3. Step 3: Cross multiply
    785,797,568x = 1,309,583,686 × 1,309,583,686
  4. Step 4: Simplify right side
    785,797,568x = 1,715,009,430,637,346,560
  5. Step 5: Solve for x
    x = 1,715,009,430,637,346,560/785,797,568
  6. Step 6: Final answer
    x = 2,182,507,939.04

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.