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Finding the Third Proportional to 16,648,029,581 and 38,846,744,758

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Solution

The third proportional to 16,648,029,581 and 38,846,744,758 is: 90,645,536,815.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648,029,581 : 38,846,744,758 = 38,846,744,758 : x
  2. Step 2: Convert to fraction form
    16,648,029,581/38,846,744,758 = 38,846,744,758/x
  3. Step 3: Cross multiply
    16,648,029,581x = 38,846,744,758 × 38,846,744,758
  4. Step 4: Simplify right side
    16,648,029,581x = 1,509,069,578,293,200,551,936
  5. Step 5: Solve for x
    x = 1,509,069,578,293,200,551,936/16,648,029,581
  6. Step 6: Final answer
    x = 90,645,536,815.69

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.