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Finding the Third Proportional to 6,726,398,226 and 15,715,901,925

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Solution

The third proportional to 6,726,398,226 and 15,715,901,925 is: 36,719,439,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726,398,226 : 15,715,901,925 = 15,715,901,925 : x
  2. Step 2: Convert to fraction form
    6,726,398,226/15,715,901,925 = 15,715,901,925/x
  3. Step 3: Cross multiply
    6,726,398,226x = 15,715,901,925 × 15,715,901,925
  4. Step 4: Simplify right side
    6,726,398,226x = 246,989,573,316,218,716,160
  5. Step 5: Solve for x
    x = 246,989,573,316,218,716,160/6,726,398,226
  6. Step 6: Final answer
    x = 36,719,439,589.75

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.