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Finding the Third Proportional to 227,741,211,914 and 474,332,429,428

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Solution

The third proportional to 227,741,211,914 and 474,332,429,428 is: 987,925,073,886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,741,211,914 : 474,332,429,428 = 474,332,429,428 : x
  2. Step 2: Convert to fraction form
    227,741,211,914/474,332,429,428 = 474,332,429,428/x
  3. Step 3: Cross multiply
    227,741,211,914x = 474,332,429,428 × 474,332,429,428
  4. Step 4: Simplify right side
    227,741,211,914x = 224,991,253,607,068,590,931,968
  5. Step 5: Solve for x
    x = 224,991,253,607,068,590,931,968/227,741,211,914
  6. Step 6: Final answer
    x = 987,925,073,886.19

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Why These Related Problems?

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