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Finding the Third Proportional to 465,581,688 and 647,354,195

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Solution

The third proportional to 465,581,688 and 647,354,195 is: 900,094,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,581,688 : 647,354,195 = 647,354,195 : x
  2. Step 2: Convert to fraction form
    465,581,688/647,354,195 = 647,354,195/x
  3. Step 3: Cross multiply
    465,581,688x = 647,354,195 × 647,354,195
  4. Step 4: Simplify right side
    465,581,688x = 419,067,453,784,098,048
  5. Step 5: Solve for x
    x = 419,067,453,784,098,048/465,581,688
  6. Step 6: Final answer
    x = 900,094,364.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.