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Finding the Third Proportional to 46,251,293,643,864 and 69,972,768,964,332

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Solution

The third proportional to 46,251,293,643,864 and 69,972,768,964,332 is: 105,860,571,906,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251,293,643,864 : 69,972,768,964,332 = 69,972,768,964,332 : x
  2. Step 2: Convert to fraction form
    46,251,293,643,864/69,972,768,964,332 = 69,972,768,964,332/x
  3. Step 3: Cross multiply
    46,251,293,643,864x = 69,972,768,964,332 × 69,972,768,964,332
  4. Step 4: Simplify right side
    46,251,293,643,864x = 4,896,188,396,535,783,368,094,121,984
  5. Step 5: Solve for x
    x = 4,896,188,396,535,783,368,094,121,984/46,251,293,643,864
  6. Step 6: Final answer
    x = 105,860,571,906,086.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.