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Finding the Third Proportional to 218,578,814 and 473,478,351

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Solution

The third proportional to 218,578,814 and 473,478,351 is: 1,025,633,476.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,578,814 : 473,478,351 = 473,478,351 : x
  2. Step 2: Convert to fraction form
    218,578,814/473,478,351 = 473,478,351/x
  3. Step 3: Cross multiply
    218,578,814x = 473,478,351 × 473,478,351
  4. Step 4: Simplify right side
    218,578,814x = 224,181,748,865,679,200
  5. Step 5: Solve for x
    x = 224,181,748,865,679,200/218,578,814
  6. Step 6: Final answer
    x = 1,025,633,476.38

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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.