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Finding the Third Proportional to 947,563,812 and 2,044,950,316.88

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Solution

The third proportional to 947,563,812 and 2,044,950,316.88 is: 4,413,235,019.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,563,812 : 2,044,950,316.88 = 2,044,950,316.88 : x
  2. Step 2: Convert to fraction form
    947,563,812/2,044,950,316.88 = 2,044,950,316.88/x
  3. Step 3: Cross multiply
    947,563,812x = 2,044,950,316.88 × 2,044,950,316.88
  4. Step 4: Simplify right side
    947,563,812x = 4,181,821,798,487,162,880
  5. Step 5: Solve for x
    x = 4,181,821,798,487,162,880/947,563,812
  6. Step 6: Final answer
    x = 4,413,235,019.67

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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.