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Finding the Third Proportional to 48,269,786,978 and 103,916,700,004

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Solution

The third proportional to 48,269,786,978 and 103,916,700,004 is: 223,715,106,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,269,786,978 : 103,916,700,004 = 103,916,700,004 : x
  2. Step 2: Convert to fraction form
    48,269,786,978/103,916,700,004 = 103,916,700,004/x
  3. Step 3: Cross multiply
    48,269,786,978x = 103,916,700,004 × 103,916,700,004
  4. Step 4: Simplify right side
    48,269,786,978x = 10,798,680,539,721,333,997,568
  5. Step 5: Solve for x
    x = 10,798,680,539,721,333,997,568/48,269,786,978
  6. Step 6: Final answer
    x = 223,715,106,607.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.