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Finding the Third Proportional to 65,861,438,288 and 88,862,543,408

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Solution

The third proportional to 65,861,438,288 and 88,862,543,408 is: 119,896,434,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,861,438,288 : 88,862,543,408 = 88,862,543,408 : x
  2. Step 2: Convert to fraction form
    65,861,438,288/88,862,543,408 = 88,862,543,408/x
  3. Step 3: Cross multiply
    65,861,438,288x = 88,862,543,408 × 88,862,543,408
  4. Step 4: Simplify right side
    65,861,438,288x = 7,896,551,620,938,684,170,240
  5. Step 5: Solve for x
    x = 7,896,551,620,938,684,170,240/65,861,438,288
  6. Step 6: Final answer
    x = 119,896,434,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.