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Finding the Third Proportional to 12,692,467.13 and 19,336,223.81

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Solution

The third proportional to 12,692,467.13 and 19,336,223.81 is: 29,457,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692,467.13 : 19,336,223.81 = 19,336,223.81 : x
  2. Step 2: Convert to fraction form
    12,692,467.13/19,336,223.81 = 19,336,223.81/x
  3. Step 3: Cross multiply
    12,692,467.13x = 19,336,223.81 × 19,336,223.81
  4. Step 4: Simplify right side
    12,692,467.13x = 373,889,551,327,092.06
  5. Step 5: Solve for x
    x = 373,889,551,327,092.06/12,692,467.13
  6. Step 6: Final answer
    x = 29,457,594.62

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.