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Finding the Third Proportional to 22,350,305,602 and 48,668,704,020

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Solution

The third proportional to 22,350,305,602 and 48,668,704,020 is: 105,978,092,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,350,305,602 : 48,668,704,020 = 48,668,704,020 : x
  2. Step 2: Convert to fraction form
    22,350,305,602/48,668,704,020 = 48,668,704,020/x
  3. Step 3: Cross multiply
    22,350,305,602x = 48,668,704,020 × 48,668,704,020
  4. Step 4: Simplify right side
    22,350,305,602x = 2,368,642,750,986,364,387,328
  5. Step 5: Solve for x
    x = 2,368,642,750,986,364,387,328/22,350,305,602
  6. Step 6: Final answer
    x = 105,978,092,343.15

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Why These Related Problems?

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