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Finding the Third Proportional to 19,709,538 and 42,142,916

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Solution

The third proportional to 19,709,538 and 42,142,916 is: 90,109,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709,538 : 42,142,916 = 42,142,916 : x
  2. Step 2: Convert to fraction form
    19,709,538/42,142,916 = 42,142,916/x
  3. Step 3: Cross multiply
    19,709,538x = 42,142,916 × 42,142,916
  4. Step 4: Simplify right side
    19,709,538x = 1,776,025,368,983,056
  5. Step 5: Solve for x
    x = 1,776,025,368,983,056/19,709,538
  6. Step 6: Final answer
    x = 90,109,944.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.