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Finding the Third Proportional to 12,294,464 and 19,753,896

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Solution

The third proportional to 12,294,464 and 19,753,896 is: 31,739,196.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,464 : 19,753,896 = 19,753,896 : x
  2. Step 2: Convert to fraction form
    12,294,464/19,753,896 = 19,753,896/x
  3. Step 3: Cross multiply
    12,294,464x = 19,753,896 × 19,753,896
  4. Step 4: Simplify right side
    12,294,464x = 390,216,407,178,816
  5. Step 5: Solve for x
    x = 390,216,407,178,816/12,294,464
  6. Step 6: Final answer
    x = 31,739,196.37

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