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Finding the Third Proportional to 11,655,776 and 17,646,228

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Solution

The third proportional to 11,655,776 and 17,646,228 is: 26,715,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655,776 : 17,646,228 = 17,646,228 : x
  2. Step 2: Convert to fraction form
    11,655,776/17,646,228 = 17,646,228/x
  3. Step 3: Cross multiply
    11,655,776x = 17,646,228 × 17,646,228
  4. Step 4: Simplify right side
    11,655,776x = 311,389,362,627,984
  5. Step 5: Solve for x
    x = 311,389,362,627,984/11,655,776
  6. Step 6: Final answer
    x = 26,715,455.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.