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Finding the Third Proportional to 19,709,536 and 42,142,912

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Solution

The third proportional to 19,709,536 and 42,142,912 is: 90,109,936.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709,536 : 42,142,912 = 42,142,912 : x
  2. Step 2: Convert to fraction form
    19,709,536/42,142,912 = 42,142,912/x
  3. Step 3: Cross multiply
    19,709,536x = 42,142,912 × 42,142,912
  4. Step 4: Simplify right side
    19,709,536x = 1,776,025,031,839,744
  5. Step 5: Solve for x
    x = 1,776,025,031,839,744/19,709,536
  6. Step 6: Final answer
    x = 90,109,936.22

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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.