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Finding the Third Proportional to 13,977,764 and 29,898,676

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Solution

The third proportional to 13,977,764 and 29,898,676 is: 63,953,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977,764 : 29,898,676 = 29,898,676 : x
  2. Step 2: Convert to fraction form
    13,977,764/29,898,676 = 29,898,676/x
  3. Step 3: Cross multiply
    13,977,764x = 29,898,676 × 29,898,676
  4. Step 4: Simplify right side
    13,977,764x = 893,930,826,552,976
  5. Step 5: Solve for x
    x = 893,930,826,552,976/13,977,764
  6. Step 6: Final answer
    x = 63,953,778.77

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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.