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Finding the Third Proportional to 3,053,882,569,243 and 6,643,935,765,098

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Solution

The third proportional to 3,053,882,569,243 and 6,643,935,765,098 is: 14,454,348,341,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,882,569,243 : 6,643,935,765,098 = 6,643,935,765,098 : x
  2. Step 2: Convert to fraction form
    3,053,882,569,243/6,643,935,765,098 = 6,643,935,765,098/x
  3. Step 3: Cross multiply
    3,053,882,569,243x = 6,643,935,765,098 × 6,643,935,765,098
  4. Step 4: Simplify right side
    3,053,882,569,243x = 44,141,882,450,748,348,028,682,240
  5. Step 5: Solve for x
    x = 44,141,882,450,748,348,028,682,240/3,053,882,569,243
  6. Step 6: Final answer
    x = 14,454,348,341,786.53

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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.