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Finding the Third Proportional to 3,688,674,817 and 7,966,305,170

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Solution

The third proportional to 3,688,674,817 and 7,966,305,170 is: 17,204,557,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688,674,817 : 7,966,305,170 = 7,966,305,170 : x
  2. Step 2: Convert to fraction form
    3,688,674,817/7,966,305,170 = 7,966,305,170/x
  3. Step 3: Cross multiply
    3,688,674,817x = 7,966,305,170 × 7,966,305,170
  4. Step 4: Simplify right side
    3,688,674,817x = 63,462,018,061,568,729,088
  5. Step 5: Solve for x
    x = 63,462,018,061,568,729,088/3,688,674,817
  6. Step 6: Final answer
    x = 17,204,557,519.98

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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.