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Finding the Third Proportional to 3,897,957,340 and 6,398,926,602

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Solution

The third proportional to 3,897,957,340 and 6,398,926,602 is: 10,504,543,299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897,957,340 : 6,398,926,602 = 6,398,926,602 : x
  2. Step 2: Convert to fraction form
    3,897,957,340/6,398,926,602 = 6,398,926,602/x
  3. Step 3: Cross multiply
    3,897,957,340x = 6,398,926,602 × 6,398,926,602
  4. Step 4: Simplify right side
    3,897,957,340x = 40,946,261,657,783,263,232
  5. Step 5: Solve for x
    x = 40,946,261,657,783,263,232/3,897,957,340
  6. Step 6: Final answer
    x = 10,504,543,299.54

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.