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Finding the Third Proportional to 4,977,376,965 and 10,664,708,751

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Solution

The third proportional to 4,977,376,965 and 10,664,708,751 is: 22,850,592,499.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977,376,965 : 10,664,708,751 = 10,664,708,751 : x
  2. Step 2: Convert to fraction form
    4,977,376,965/10,664,708,751 = 10,664,708,751/x
  3. Step 3: Cross multiply
    4,977,376,965x = 10,664,708,751 × 10,664,708,751
  4. Step 4: Simplify right side
    4,977,376,965x = 113,736,012,743,655,981,056
  5. Step 5: Solve for x
    x = 113,736,012,743,655,981,056/4,977,376,965
  6. Step 6: Final answer
    x = 22,850,592,499.51

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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.