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Finding the Third Proportional to 27,818,823 and 42,554,310

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Solution

The third proportional to 27,818,823 and 42,554,310 is: 65,095,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818,823 : 42,554,310 = 42,554,310 : x
  2. Step 2: Convert to fraction form
    27,818,823/42,554,310 = 42,554,310/x
  3. Step 3: Cross multiply
    27,818,823x = 42,554,310 × 42,554,310
  4. Step 4: Simplify right side
    27,818,823x = 1,810,869,299,576,100
  5. Step 5: Solve for x
    x = 1,810,869,299,576,100/27,818,823
  6. Step 6: Final answer
    x = 65,095,108.43

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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.