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Finding the Third Proportional to 13,026,380 and 27,845,460

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Solution

The third proportional to 13,026,380 and 27,845,460 is: 59,523,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026,380 : 27,845,460 = 27,845,460 : x
  2. Step 2: Convert to fraction form
    13,026,380/27,845,460 = 27,845,460/x
  3. Step 3: Cross multiply
    13,026,380x = 27,845,460 × 27,845,460
  4. Step 4: Simplify right side
    13,026,380x = 775,369,642,611,600
  5. Step 5: Solve for x
    x = 775,369,642,611,600/13,026,380
  6. Step 6: Final answer
    x = 59,523,032.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.