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Finding the Third Proportional to 919,199,070 and 1,966,193,064

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Solution

The third proportional to 919,199,070 and 1,966,193,064 is: 4,205,743,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,199,070 : 1,966,193,064 = 1,966,193,064 : x
  2. Step 2: Convert to fraction form
    919,199,070/1,966,193,064 = 1,966,193,064/x
  3. Step 3: Cross multiply
    919,199,070x = 1,966,193,064 × 1,966,193,064
  4. Step 4: Simplify right side
    919,199,070x = 3,865,915,164,921,708,032
  5. Step 5: Solve for x
    x = 3,865,915,164,921,708,032/919,199,070
  6. Step 6: Final answer
    x = 4,205,743,120.39

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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.