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Finding the Third Proportional to 2,107,284,400 and 4,685,724,304

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Solution

The third proportional to 2,107,284,400 and 4,685,724,304 is: 10,419,102,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107,284,400 : 4,685,724,304 = 4,685,724,304 : x
  2. Step 2: Convert to fraction form
    2,107,284,400/4,685,724,304 = 4,685,724,304/x
  3. Step 3: Cross multiply
    2,107,284,400x = 4,685,724,304 × 4,685,724,304
  4. Step 4: Simplify right side
    2,107,284,400x = 21,956,012,253,096,284,160
  5. Step 5: Solve for x
    x = 21,956,012,253,096,284,160/2,107,284,400
  6. Step 6: Final answer
    x = 10,419,102,544.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.