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Finding the Third Proportional to 12,294,428 and 19,753,848

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Solution

The third proportional to 12,294,428 and 19,753,848 is: 31,739,135.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,428 : 19,753,848 = 19,753,848 : x
  2. Step 2: Convert to fraction form
    12,294,428/19,753,848 = 19,753,848/x
  3. Step 3: Cross multiply
    12,294,428x = 19,753,848 × 19,753,848
  4. Step 4: Simplify right side
    12,294,428x = 390,214,510,807,104
  5. Step 5: Solve for x
    x = 390,214,510,807,104/12,294,428
  6. Step 6: Final answer
    x = 31,739,135.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.