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Finding the Third Proportional to 57,786,416 and 120,355,840

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Solution

The third proportional to 57,786,416 and 120,355,840 is: 250,673,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,786,416 : 120,355,840 = 120,355,840 : x
  2. Step 2: Convert to fraction form
    57,786,416/120,355,840 = 120,355,840/x
  3. Step 3: Cross multiply
    57,786,416x = 120,355,840 × 120,355,840
  4. Step 4: Simplify right side
    57,786,416x = 14,485,528,222,105,600
  5. Step 5: Solve for x
    x = 14,485,528,222,105,600/57,786,416
  6. Step 6: Final answer
    x = 250,673,587.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.