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Finding the Third Proportional to 16,648,029,579 and 38,846,744,753.25

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Solution

The third proportional to 16,648,029,579 and 38,846,744,753.25 is: 90,645,536,804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648,029,579 : 38,846,744,753.25 = 38,846,744,753.25 : x
  2. Step 2: Convert to fraction form
    16,648,029,579/38,846,744,753.25 = 38,846,744,753.25/x
  3. Step 3: Cross multiply
    16,648,029,579x = 38,846,744,753.25 × 38,846,744,753.25
  4. Step 4: Simplify right side
    16,648,029,579x = 1,509,069,577,924,156,325,888
  5. Step 5: Solve for x
    x = 1,509,069,577,924,156,325,888/16,648,029,579
  6. Step 6: Final answer
    x = 90,645,536,804.41

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Why These Related Problems?

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