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Finding the Third Proportional to 221,863,237 and 473,405,971

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Solution

The third proportional to 221,863,237 and 473,405,971 is: 1,010,141,276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,863,237 : 473,405,971 = 473,405,971 : x
  2. Step 2: Convert to fraction form
    221,863,237/473,405,971 = 473,405,971/x
  3. Step 3: Cross multiply
    221,863,237x = 473,405,971 × 473,405,971
  4. Step 4: Simplify right side
    221,863,237x = 224,113,213,378,452,832
  5. Step 5: Solve for x
    x = 224,113,213,378,452,832/221,863,237
  6. Step 6: Final answer
    x = 1,010,141,276.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.