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Finding the Third Proportional to 919,199,006 and 1,966,192,956

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Solution

The third proportional to 919,199,006 and 1,966,192,956 is: 4,205,742,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,199,006 : 1,966,192,956 = 1,966,192,956 : x
  2. Step 2: Convert to fraction form
    919,199,006/1,966,192,956 = 1,966,192,956/x
  3. Step 3: Cross multiply
    919,199,006x = 1,966,192,956 × 1,966,192,956
  4. Step 4: Simplify right side
    919,199,006x = 3,865,914,740,224,017,920
  5. Step 5: Solve for x
    x = 3,865,914,740,224,017,920/919,199,006
  6. Step 6: Final answer
    x = 4,205,742,951.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.