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Finding the Third Proportional to 1,922,524,053 and 3,946,966,074

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Solution

The third proportional to 1,922,524,053 and 3,946,966,074 is: 8,103,171,018.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922,524,053 : 3,946,966,074 = 3,946,966,074 : x
  2. Step 2: Convert to fraction form
    1,922,524,053/3,946,966,074 = 3,946,966,074/x
  3. Step 3: Cross multiply
    1,922,524,053x = 3,946,966,074 × 3,946,966,074
  4. Step 4: Simplify right side
    1,922,524,053x = 15,578,541,189,306,974,208
  5. Step 5: Solve for x
    x = 15,578,541,189,306,974,208/1,922,524,053
  6. Step 6: Final answer
    x = 8,103,171,018.85

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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.