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Finding the Third Proportional to 12,128,196 and 26,451,312

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Solution

The third proportional to 12,128,196 and 26,451,312 is: 57,689,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128,196 : 26,451,312 = 26,451,312 : x
  2. Step 2: Convert to fraction form
    12,128,196/26,451,312 = 26,451,312/x
  3. Step 3: Cross multiply
    12,128,196x = 26,451,312 × 26,451,312
  4. Step 4: Simplify right side
    12,128,196x = 699,671,906,521,344
  5. Step 5: Solve for x
    x = 699,671,906,521,344/12,128,196
  6. Step 6: Final answer
    x = 57,689,693.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.