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Finding the Third Proportional to 3,053,882,569,248 and 6,643,935,765,106

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Solution

The third proportional to 3,053,882,569,248 and 6,643,935,765,106 is: 14,454,348,341,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,882,569,248 : 6,643,935,765,106 = 6,643,935,765,106 : x
  2. Step 2: Convert to fraction form
    3,053,882,569,248/6,643,935,765,106 = 6,643,935,765,106/x
  3. Step 3: Cross multiply
    3,053,882,569,248x = 6,643,935,765,106 × 6,643,935,765,106
  4. Step 4: Simplify right side
    3,053,882,569,248x = 44,141,882,450,854,648,469,258,240
  5. Step 5: Solve for x
    x = 44,141,882,450,854,648,469,258,240/3,053,882,569,248
  6. Step 6: Final answer
    x = 14,454,348,341,797.67

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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.