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Finding the Third Proportional to 2,330,501,655 and 4,993,419,654

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Solution

The third proportional to 2,330,501,655 and 4,993,419,654 is: 10,699,086,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,501,655 : 4,993,419,654 = 4,993,419,654 : x
  2. Step 2: Convert to fraction form
    2,330,501,655/4,993,419,654 = 4,993,419,654/x
  3. Step 3: Cross multiply
    2,330,501,655x = 4,993,419,654 × 4,993,419,654
  4. Step 4: Simplify right side
    2,330,501,655x = 24,934,239,840,953,479,168
  5. Step 5: Solve for x
    x = 24,934,239,840,953,479,168/2,330,501,655
  6. Step 6: Final answer
    x = 10,699,086,948.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.