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Finding the Third Proportional to 19,709,361 and 42,142,534

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Solution

The third proportional to 19,709,361 and 42,142,534 is: 90,109,119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709,361 : 42,142,534 = 42,142,534 : x
  2. Step 2: Convert to fraction form
    19,709,361/42,142,534 = 42,142,534/x
  3. Step 3: Cross multiply
    19,709,361x = 42,142,534 × 42,142,534
  4. Step 4: Simplify right side
    19,709,361x = 1,775,993,171,941,156
  5. Step 5: Solve for x
    x = 1,775,993,171,941,156/19,709,361
  6. Step 6: Final answer
    x = 90,109,119.82

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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.