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Finding the Third Proportional to 12,294,493.88 and 18,342,095.63

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Solution

The third proportional to 12,294,493.88 and 18,342,095.63 is: 27,364,483.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294,493.88 : 18,342,095.63 = 18,342,095.63 : x
  2. Step 2: Convert to fraction form
    12,294,493.88/18,342,095.63 = 18,342,095.63/x
  3. Step 3: Cross multiply
    12,294,493.88x = 18,342,095.63 × 18,342,095.63
  4. Step 4: Simplify right side
    12,294,493.88x = 336,432,471,916,644.12
  5. Step 5: Solve for x
    x = 336,432,471,916,644.12/12,294,493.88
  6. Step 6: Final answer
    x = 27,364,483.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.