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Finding the Third Proportional to 13,026,420 and 27,845,532

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Solution

The third proportional to 13,026,420 and 27,845,532 is: 59,523,157.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026,420 : 27,845,532 = 27,845,532 : x
  2. Step 2: Convert to fraction form
    13,026,420/27,845,532 = 27,845,532/x
  3. Step 3: Cross multiply
    13,026,420x = 27,845,532 × 27,845,532
  4. Step 4: Simplify right side
    13,026,420x = 775,373,652,363,024
  5. Step 5: Solve for x
    x = 775,373,652,363,024/13,026,420
  6. Step 6: Final answer
    x = 59,523,157.73

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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.