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Finding the Third Proportional to 12,759,754,881,990 and 27,454,762,208,460

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Solution

The third proportional to 12,759,754,881,990 and 27,454,762,208,460 is: 59,073,546,074,697.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,759,754,881,990 : 27,454,762,208,460 = 27,454,762,208,460 : x
  2. Step 2: Convert to fraction form
    12,759,754,881,990/27,454,762,208,460 = 27,454,762,208,460/x
  3. Step 3: Cross multiply
    12,759,754,881,990x = 27,454,762,208,460 × 27,454,762,208,460
  4. Step 4: Simplify right side
    12,759,754,881,990x = 753,763,967,923,083,363,263,447,040
  5. Step 5: Solve for x
    x = 753,763,967,923,083,363,263,447,040/12,759,754,881,990
  6. Step 6: Final answer
    x = 59,073,546,074,697.55

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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.