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Finding the Third Proportional to 42,463,726,689 and 65,933,030,911

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Solution

The third proportional to 42,463,726,689 and 65,933,030,911 is: 102,373,599,871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,463,726,689 : 65,933,030,911 = 65,933,030,911 : x
  2. Step 2: Convert to fraction form
    42,463,726,689/65,933,030,911 = 65,933,030,911/x
  3. Step 3: Cross multiply
    42,463,726,689x = 65,933,030,911 × 65,933,030,911
  4. Step 4: Simplify right side
    42,463,726,689x = 4,347,164,565,110,881,517,568
  5. Step 5: Solve for x
    x = 4,347,164,565,110,881,517,568/42,463,726,689
  6. Step 6: Final answer
    x = 102,373,599,871.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.