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Finding the Third Proportional to 218,578,812 and 473,478,346.50

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Solution

The third proportional to 218,578,812 and 473,478,346.50 is: 1,025,633,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,578,812 : 473,478,346.50 = 473,478,346.50 : x
  2. Step 2: Convert to fraction form
    218,578,812/473,478,346.50 = 473,478,346.50/x
  3. Step 3: Cross multiply
    218,578,812x = 473,478,346.50 × 473,478,346.50
  4. Step 4: Simplify right side
    218,578,812x = 224,181,744,604,374,048
  5. Step 5: Solve for x
    x = 224,181,744,604,374,048/218,578,812
  6. Step 6: Final answer
    x = 1,025,633,466.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.