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Finding the Third Proportional to 20,776,284 and 31,048,143.75

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Solution

The third proportional to 20,776,284 and 31,048,143.75 is: 46,398,443.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,776,284 : 31,048,143.75 = 31,048,143.75 : x
  2. Step 2: Convert to fraction form
    20,776,284/31,048,143.75 = 31,048,143.75/x
  3. Step 3: Cross multiply
    20,776,284x = 31,048,143.75 × 31,048,143.75
  4. Step 4: Simplify right side
    20,776,284x = 963,987,230,320,664
  5. Step 5: Solve for x
    x = 963,987,230,320,664/20,776,284
  6. Step 6: Final answer
    x = 46,398,443.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.