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Finding the Third Proportional to 31,457,702 and 42,501,351

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Solution

The third proportional to 31,457,702 and 42,501,351 is: 57,422,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,457,702 : 42,501,351 = 42,501,351 : x
  2. Step 2: Convert to fraction form
    31,457,702/42,501,351 = 42,501,351/x
  3. Step 3: Cross multiply
    31,457,702x = 42,501,351 × 42,501,351
  4. Step 4: Simplify right side
    31,457,702x = 1,806,364,836,825,201
  5. Step 5: Solve for x
    x = 1,806,364,836,825,201/31,457,702
  6. Step 6: Final answer
    x = 57,422,021.38

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.