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Finding the Third Proportional to 48,269,786,982 and 103,916,700,012

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Solution

The third proportional to 48,269,786,982 and 103,916,700,012 is: 223,715,106,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,269,786,982 : 103,916,700,012 = 103,916,700,012 : x
  2. Step 2: Convert to fraction form
    48,269,786,982/103,916,700,012 = 103,916,700,012/x
  3. Step 3: Cross multiply
    48,269,786,982x = 103,916,700,012 × 103,916,700,012
  4. Step 4: Simplify right side
    48,269,786,982x = 10,798,680,541,384,000,143,360
  5. Step 5: Solve for x
    x = 10,798,680,541,384,000,143,360/48,269,786,982
  6. Step 6: Final answer
    x = 223,715,106,623.75

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