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Finding the Third Proportional to 9,933,469,248 and 21,630,535,296

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Solution

The third proportional to 9,933,469,248 and 21,630,535,296 is: 47,101,374,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,933,469,248 : 21,630,535,296 = 21,630,535,296 : x
  2. Step 2: Convert to fraction form
    9,933,469,248/21,630,535,296 = 21,630,535,296/x
  3. Step 3: Cross multiply
    9,933,469,248x = 21,630,535,296 × 21,630,535,296
  4. Step 4: Simplify right side
    9,933,469,248x = 467,880,057,191,501,791,232
  5. Step 5: Solve for x
    x = 467,880,057,191,501,791,232/9,933,469,248
  6. Step 6: Final answer
    x = 47,101,374,707.10

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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.