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Finding the Third Proportional to 2,174,101,946,219 and 4,729,911,301,423

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Solution

The third proportional to 2,174,101,946,219 and 4,729,911,301,423 is: 10,290,253,848,600.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,101,946,219 : 4,729,911,301,423 = 4,729,911,301,423 : x
  2. Step 2: Convert to fraction form
    2,174,101,946,219/4,729,911,301,423 = 4,729,911,301,423/x
  3. Step 3: Cross multiply
    2,174,101,946,219x = 4,729,911,301,423 × 4,729,911,301,423
  4. Step 4: Simplify right side
    2,174,101,946,219x = 22,372,060,919,329,015,591,862,272
  5. Step 5: Solve for x
    x = 22,372,060,919,329,015,591,862,272/2,174,101,946,219
  6. Step 6: Final answer
    x = 10,290,253,848,600.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.