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Finding the Third Proportional to 12,759,754,881,992 and 27,454,762,208,464

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Solution

The third proportional to 12,759,754,881,992 and 27,454,762,208,464 is: 59,073,546,074,705.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759,754,881,992 : 27,454,762,208,464 = 27,454,762,208,464 : x
  2. Step 2: Convert to fraction form
    12,759,754,881,992/27,454,762,208,464 = 27,454,762,208,464/x
  3. Step 3: Cross multiply
    12,759,754,881,992x = 27,454,762,208,464 × 27,454,762,208,464
  4. Step 4: Simplify right side
    12,759,754,881,992x = 753,763,967,923,302,990,711,095,296
  5. Step 5: Solve for x
    x = 753,763,967,923,302,990,711,095,296/12,759,754,881,992
  6. Step 6: Final answer
    x = 59,073,546,074,705.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.