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Finding the Third Proportional to 42,463,726,687 and 65,933,030,907

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Solution

The third proportional to 42,463,726,687 and 65,933,030,907 is: 102,373,599,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,463,726,687 : 65,933,030,907 = 65,933,030,907 : x
  2. Step 2: Convert to fraction form
    42,463,726,687/65,933,030,907 = 65,933,030,907/x
  3. Step 3: Cross multiply
    42,463,726,687x = 65,933,030,907 × 65,933,030,907
  4. Step 4: Simplify right side
    42,463,726,687x = 4,347,164,564,583,417,380,864
  5. Step 5: Solve for x
    x = 4,347,164,564,583,417,380,864/42,463,726,687
  6. Step 6: Final answer
    x = 102,373,599,863.86

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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.