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Finding the Third Proportional to 3,946,725,269 and 8,775,874,693

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Solution

The third proportional to 3,946,725,269 and 8,775,874,693 is: 19,513,893,513.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946,725,269 : 8,775,874,693 = 8,775,874,693 : x
  2. Step 2: Convert to fraction form
    3,946,725,269/8,775,874,693 = 8,775,874,693/x
  3. Step 3: Cross multiply
    3,946,725,269x = 8,775,874,693 × 8,775,874,693
  4. Step 4: Simplify right side
    3,946,725,269x = 77,015,976,627,237,847,040
  5. Step 5: Solve for x
    x = 77,015,976,627,237,847,040/3,946,725,269
  6. Step 6: Final answer
    x = 19,513,893,513.74

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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.