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Finding the Third Proportional to 238,734,911,568 and 517,750,466,064

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Solution

The third proportional to 238,734,911,568 and 517,750,466,064 is: 1,122,858,585,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,734,911,568 : 517,750,466,064 = 517,750,466,064 : x
  2. Step 2: Convert to fraction form
    238,734,911,568/517,750,466,064 = 517,750,466,064/x
  3. Step 3: Cross multiply
    238,734,911,568x = 517,750,466,064 × 517,750,466,064
  4. Step 4: Simplify right side
    238,734,911,568x = 268,065,545,109,489,210,884,096
  5. Step 5: Solve for x
    x = 268,065,545,109,489,210,884,096/238,734,911,568
  6. Step 6: Final answer
    x = 1,122,858,585,486.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.