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Finding the Third Proportional to 218,241,552 and 470,520,864

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Solution

The third proportional to 218,241,552 and 470,520,864 is: 1,014,425,903.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,241,552 : 470,520,864 = 470,520,864 : x
  2. Step 2: Convert to fraction form
    218,241,552/470,520,864 = 470,520,864/x
  3. Step 3: Cross multiply
    218,241,552x = 470,520,864 × 470,520,864
  4. Step 4: Simplify right side
    218,241,552x = 221,389,883,459,306,496
  5. Step 5: Solve for x
    x = 221,389,883,459,306,496/218,241,552
  6. Step 6: Final answer
    x = 1,014,425,903.00

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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.