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Finding the Third Proportional to 52,023,906 and 120,471,894

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Solution

The third proportional to 52,023,906 and 120,471,894 is: 278,977,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,023,906 : 120,471,894 = 120,471,894 : x
  2. Step 2: Convert to fraction form
    52,023,906/120,471,894 = 120,471,894/x
  3. Step 3: Cross multiply
    52,023,906x = 120,471,894 × 120,471,894
  4. Step 4: Simplify right side
    52,023,906x = 14,513,477,243,947,236
  5. Step 5: Solve for x
    x = 14,513,477,243,947,236/52,023,906
  6. Step 6: Final answer
    x = 278,977,077.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.