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Finding the Third Proportional to 941,675,482 and 1,469,731,704

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Solution

The third proportional to 941,675,482 and 1,469,731,704 is: 2,293,902,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,675,482 : 1,469,731,704 = 1,469,731,704 : x
  2. Step 2: Convert to fraction form
    941,675,482/1,469,731,704 = 1,469,731,704/x
  3. Step 3: Cross multiply
    941,675,482x = 1,469,731,704 × 1,469,731,704
  4. Step 4: Simplify right side
    941,675,482x = 2,160,111,281,742,743,552
  5. Step 5: Solve for x
    x = 2,160,111,281,742,743,552/941,675,482
  6. Step 6: Final answer
    x = 2,293,902,010.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.