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Finding the Third Proportional to 23,693,121,348,544 and 48,052,439,397,856

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Solution

The third proportional to 23,693,121,348,544 and 48,052,439,397,856 is: 97,456,004,133,728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,693,121,348,544 : 48,052,439,397,856 = 48,052,439,397,856 : x
  2. Step 2: Convert to fraction form
    23,693,121,348,544/48,052,439,397,856 = 48,052,439,397,856/x
  3. Step 3: Cross multiply
    23,693,121,348,544x = 48,052,439,397,856 × 48,052,439,397,856
  4. Step 4: Simplify right side
    23,693,121,348,544x = 2,309,036,932,084,623,440,596,697,088
  5. Step 5: Solve for x
    x = 2,309,036,932,084,623,440,596,697,088/23,693,121,348,544
  6. Step 6: Final answer
    x = 97,456,004,133,728.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.