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Finding the Third Proportional to 12,692,296 and 19,336,035

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Solution

The third proportional to 12,692,296 and 19,336,035 is: 29,457,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,692,296 : 19,336,035 = 19,336,035 : x
  2. Step 2: Convert to fraction form
    12,692,296/19,336,035 = 19,336,035/x
  3. Step 3: Cross multiply
    12,692,296x = 19,336,035 × 19,336,035
  4. Step 4: Simplify right side
    12,692,296x = 373,882,249,521,225
  5. Step 5: Solve for x
    x = 373,882,249,521,225/12,692,296
  6. Step 6: Final answer
    x = 29,457,416.49

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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.