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Finding the Third Proportional to 22,350,305,768 and 48,668,704,344

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Solution

The third proportional to 22,350,305,768 and 48,668,704,344 is: 105,978,092,967.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350,305,768 : 48,668,704,344 = 48,668,704,344 : x
  2. Step 2: Convert to fraction form
    22,350,305,768/48,668,704,344 = 48,668,704,344/x
  3. Step 3: Cross multiply
    22,350,305,768x = 48,668,704,344 × 48,668,704,344
  4. Step 4: Simplify right side
    22,350,305,768x = 2,368,642,782,523,684,290,560
  5. Step 5: Solve for x
    x = 2,368,642,782,523,684,290,560/22,350,305,768
  6. Step 6: Final answer
    x = 105,978,092,967.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.