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Finding the Third Proportional to 253,808,442 and 342,447,182

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Solution

The third proportional to 253,808,442 and 342,447,182 is: 462,041,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,808,442 : 342,447,182 = 342,447,182 : x
  2. Step 2: Convert to fraction form
    253,808,442/342,447,182 = 342,447,182/x
  3. Step 3: Cross multiply
    253,808,442x = 342,447,182 × 342,447,182
  4. Step 4: Simplify right side
    253,808,442x = 117,270,072,459,741,120
  5. Step 5: Solve for x
    x = 117,270,072,459,741,120/253,808,442
  6. Step 6: Final answer
    x = 462,041,654.47

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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.