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Finding the Third Proportional to 1,708,907,568 and 3,508,409,424

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Solution

The third proportional to 1,708,907,568 and 3,508,409,424 is: 7,202,810,097.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708,907,568 : 3,508,409,424 = 3,508,409,424 : x
  2. Step 2: Convert to fraction form
    1,708,907,568/3,508,409,424 = 3,508,409,424/x
  3. Step 3: Cross multiply
    1,708,907,568x = 3,508,409,424 × 3,508,409,424
  4. Step 4: Simplify right side
    1,708,907,568x = 12,308,936,686,412,011,520
  5. Step 5: Solve for x
    x = 12,308,936,686,412,011,520/1,708,907,568
  6. Step 6: Final answer
    x = 7,202,810,097.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.