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Finding the Third Proportional to 27,435,956 and 42,102,600

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Solution

The third proportional to 27,435,956 and 42,102,600 is: 64,609,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,435,956 : 42,102,600 = 42,102,600 : x
  2. Step 2: Convert to fraction form
    27,435,956/42,102,600 = 42,102,600/x
  3. Step 3: Cross multiply
    27,435,956x = 42,102,600 × 42,102,600
  4. Step 4: Simplify right side
    27,435,956x = 1,772,628,926,760,000
  5. Step 5: Solve for x
    x = 1,772,628,926,760,000/27,435,956
  6. Step 6: Final answer
    x = 64,609,701.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.