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Finding the Third Proportional to 10,591,011,575 and 23,043,660,410

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Solution

The third proportional to 10,591,011,575 and 23,043,660,410 is: 50,137,825,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591,011,575 : 23,043,660,410 = 23,043,660,410 : x
  2. Step 2: Convert to fraction form
    10,591,011,575/23,043,660,410 = 23,043,660,410/x
  3. Step 3: Cross multiply
    10,591,011,575x = 23,043,660,410 × 23,043,660,410
  4. Step 4: Simplify right side
    10,591,011,575x = 531,010,285,091,401,367,552
  5. Step 5: Solve for x
    x = 531,010,285,091,401,367,552/10,591,011,575
  6. Step 6: Final answer
    x = 50,137,825,016.15

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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.