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Finding the Third Proportional to 57,002,704 and 122,963,364

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Solution

The third proportional to 57,002,704 and 122,963,364 is: 265,250,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,002,704 : 122,963,364 = 122,963,364 : x
  2. Step 2: Convert to fraction form
    57,002,704/122,963,364 = 122,963,364/x
  3. Step 3: Cross multiply
    57,002,704x = 122,963,364 × 122,963,364
  4. Step 4: Simplify right side
    57,002,704x = 15,119,988,886,196,496
  5. Step 5: Solve for x
    x = 15,119,988,886,196,496/57,002,704
  6. Step 6: Final answer
    x = 265,250,379.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.