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Finding the Third Proportional to 26,963,424 and 57,705,984

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Solution

The third proportional to 26,963,424 and 57,705,984 is: 123,499,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963,424 : 57,705,984 = 57,705,984 : x
  2. Step 2: Convert to fraction form
    26,963,424/57,705,984 = 57,705,984/x
  3. Step 3: Cross multiply
    26,963,424x = 57,705,984 × 57,705,984
  4. Step 4: Simplify right side
    26,963,424x = 3,329,980,589,408,256
  5. Step 5: Solve for x
    x = 3,329,980,589,408,256/26,963,424
  6. Step 6: Final answer
    x = 123,499,915.64

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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.