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Finding the Third Proportional to 117,996,542,823 and 259,528,880,346

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Solution

The third proportional to 117,996,542,823 and 259,528,880,346 is: 570,823,840,446.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,996,542,823 : 259,528,880,346 = 259,528,880,346 : x
  2. Step 2: Convert to fraction form
    117,996,542,823/259,528,880,346 = 259,528,880,346/x
  3. Step 3: Cross multiply
    117,996,542,823x = 259,528,880,346 × 259,528,880,346
  4. Step 4: Simplify right side
    117,996,542,823x = 67,355,239,733,648,380,919,808
  5. Step 5: Solve for x
    x = 67,355,239,733,648,380,919,808/117,996,542,823
  6. Step 6: Final answer
    x = 570,823,840,446.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.