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Finding the Third Proportional to 927,418,608 and 2,000,115,796.50

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Solution

The third proportional to 927,418,608 and 2,000,115,796.50 is: 4,313,546,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,418,608 : 2,000,115,796.50 = 2,000,115,796.50 : x
  2. Step 2: Convert to fraction form
    927,418,608/2,000,115,796.50 = 2,000,115,796.50/x
  3. Step 3: Cross multiply
    927,418,608x = 2,000,115,796.50 × 2,000,115,796.50
  4. Step 4: Simplify right side
    927,418,608x = 4,000,463,199,408,829,440
  5. Step 5: Solve for x
    x = 4,000,463,199,408,829,440/927,418,608
  6. Step 6: Final answer
    x = 4,313,546,401.70

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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.