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Finding the Third Proportional to 2,330,501,657 and 4,993,419,658

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Solution

The third proportional to 2,330,501,657 and 4,993,419,658 is: 10,699,086,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330,501,657 : 4,993,419,658 = 4,993,419,658 : x
  2. Step 2: Convert to fraction form
    2,330,501,657/4,993,419,658 = 4,993,419,658/x
  3. Step 3: Cross multiply
    2,330,501,657x = 4,993,419,658 × 4,993,419,658
  4. Step 4: Simplify right side
    2,330,501,657x = 24,934,239,880,900,837,376
  5. Step 5: Solve for x
    x = 24,934,239,880,900,837,376/2,330,501,657
  6. Step 6: Final answer
    x = 10,699,086,956.67

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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.