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Finding the Third Proportional to 307,368,916 and 472,156,251.75

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Solution

The third proportional to 307,368,916 and 472,156,251.75 is: 725,289,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,368,916 : 472,156,251.75 = 472,156,251.75 : x
  2. Step 2: Convert to fraction form
    307,368,916/472,156,251.75 = 472,156,251.75/x
  3. Step 3: Cross multiply
    307,368,916x = 472,156,251.75 × 472,156,251.75
  4. Step 4: Simplify right side
    307,368,916x = 222,931,526,066,609,376
  5. Step 5: Solve for x
    x = 222,931,526,066,609,376/307,368,916
  6. Step 6: Final answer
    x = 725,289,755.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.