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Finding the Third Proportional to 407,841,195 and 623,465,246

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Solution

The third proportional to 407,841,195 and 623,465,246 is: 953,088,892.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,841,195 : 623,465,246 = 623,465,246 : x
  2. Step 2: Convert to fraction form
    407,841,195/623,465,246 = 623,465,246/x
  3. Step 3: Cross multiply
    407,841,195x = 623,465,246 × 623,465,246
  4. Step 4: Simplify right side
    407,841,195x = 388,708,912,969,840,512
  5. Step 5: Solve for x
    x = 388,708,912,969,840,512/407,841,195
  6. Step 6: Final answer
    x = 953,088,892.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.