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Finding the Third Proportional to 7,478,000,456 and 16,149,982,512

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Solution

The third proportional to 7,478,000,456 and 16,149,982,512 is: 34,878,566,359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478,000,456 : 16,149,982,512 = 16,149,982,512 : x
  2. Step 2: Convert to fraction form
    7,478,000,456/16,149,982,512 = 16,149,982,512/x
  3. Step 3: Cross multiply
    7,478,000,456x = 16,149,982,512 × 16,149,982,512
  4. Step 4: Simplify right side
    7,478,000,456x = 260,821,935,137,905,836,032
  5. Step 5: Solve for x
    x = 260,821,935,137,905,836,032/7,478,000,456
  6. Step 6: Final answer
    x = 34,878,566,359.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.