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Finding the Third Proportional to 9,991,991,460 and 22,217,439,144

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Solution

The third proportional to 9,991,991,460 and 22,217,439,144 is: 49,401,023,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991,991,460 : 22,217,439,144 = 22,217,439,144 : x
  2. Step 2: Convert to fraction form
    9,991,991,460/22,217,439,144 = 22,217,439,144/x
  3. Step 3: Cross multiply
    9,991,991,460x = 22,217,439,144 × 22,217,439,144
  4. Step 4: Simplify right side
    9,991,991,460x = 493,614,602,117,343,477,760
  5. Step 5: Solve for x
    x = 493,614,602,117,343,477,760/9,991,991,460
  6. Step 6: Final answer
    x = 49,401,023,218.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.