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Finding the Third Proportional to 9,765,846 and 21,212,964

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Solution

The third proportional to 9,765,846 and 21,212,964 is: 46,077,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,846 : 21,212,964 = 21,212,964 : x
  2. Step 2: Convert to fraction form
    9,765,846/21,212,964 = 21,212,964/x
  3. Step 3: Cross multiply
    9,765,846x = 21,212,964 × 21,212,964
  4. Step 4: Simplify right side
    9,765,846x = 449,989,841,665,296
  5. Step 5: Solve for x
    x = 449,989,841,665,296/9,765,846
  6. Step 6: Final answer
    x = 46,077,917.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.