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Finding the Third Proportional to 3,610,684,497.94 and 7,862,372,028.56

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Solution

The third proportional to 3,610,684,497.94 and 7,862,372,028.56 is: 17,120,547,073.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,610,684,497.94 : 7,862,372,028.56 = 7,862,372,028.56 : x
  2. Step 2: Convert to fraction form
    3,610,684,497.94/7,862,372,028.56 = 7,862,372,028.56/x
  3. Step 3: Cross multiply
    3,610,684,497.94x = 7,862,372,028.56 × 7,862,372,028.56
  4. Step 4: Simplify right side
    3,610,684,497.94x = 61,816,893,915,521,998,848
  5. Step 5: Solve for x
    x = 61,816,893,915,521,998,848/3,610,684,497.94
  6. Step 6: Final answer
    x = 17,120,547,073.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.