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Finding the Third Proportional to 253,808,436 and 342,447,171

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Solution

The third proportional to 253,808,436 and 342,447,171 is: 462,041,635.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,436 : 342,447,171 = 342,447,171 : x
  2. Step 2: Convert to fraction form
    253,808,436/342,447,171 = 342,447,171/x
  3. Step 3: Cross multiply
    253,808,436x = 342,447,171 × 342,447,171
  4. Step 4: Simplify right side
    253,808,436x = 117,270,064,925,903,248
  5. Step 5: Solve for x
    x = 117,270,064,925,903,248/253,808,436
  6. Step 6: Final answer
    x = 462,041,635.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.