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Finding the Third Proportional to 12,294,652 and 19,754,178

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Solution

The third proportional to 12,294,652 and 19,754,178 is: 31,739,617.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,652 : 19,754,178 = 19,754,178 : x
  2. Step 2: Convert to fraction form
    12,294,652/19,754,178 = 19,754,178/x
  3. Step 3: Cross multiply
    12,294,652x = 19,754,178 × 19,754,178
  4. Step 4: Simplify right side
    12,294,652x = 390,227,548,455,684
  5. Step 5: Solve for x
    x = 390,227,548,455,684/12,294,652
  6. Step 6: Final answer
    x = 31,739,617.23

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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.