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Finding the Third Proportional to 31,425,896 and 48,483,986

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Solution

The third proportional to 31,425,896 and 48,483,986 is: 74,801,268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425,896 : 48,483,986 = 48,483,986 : x
  2. Step 2: Convert to fraction form
    31,425,896/48,483,986 = 48,483,986/x
  3. Step 3: Cross multiply
    31,425,896x = 48,483,986 × 48,483,986
  4. Step 4: Simplify right side
    31,425,896x = 2,350,696,898,448,196
  5. Step 5: Solve for x
    x = 2,350,696,898,448,196/31,425,896
  6. Step 6: Final answer
    x = 74,801,268.94

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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.