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Finding the Third Proportional to 315,006,185.25 and 453,778,716.38

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Solution

The third proportional to 315,006,185.25 and 453,778,716.38 is: 653,685,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,006,185.25 : 453,778,716.38 = 453,778,716.38 : x
  2. Step 2: Convert to fraction form
    315,006,185.25/453,778,716.38 = 453,778,716.38/x
  3. Step 3: Cross multiply
    315,006,185.25x = 453,778,716.38 × 453,778,716.38
  4. Step 4: Simplify right side
    315,006,185.25x = 205,915,123,434,942,688
  5. Step 5: Solve for x
    x = 205,915,123,434,942,688/315,006,185.25
  6. Step 6: Final answer
    x = 653,685,968.96

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.