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Finding the Third Proportional to 27,994,314 and 40,031,919

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Solution

The third proportional to 27,994,314 and 40,031,919 is: 57,245,715.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994,314 : 40,031,919 = 40,031,919 : x
  2. Step 2: Convert to fraction form
    27,994,314/40,031,919 = 40,031,919/x
  3. Step 3: Cross multiply
    27,994,314x = 40,031,919 × 40,031,919
  4. Step 4: Simplify right side
    27,994,314x = 1,602,554,538,822,561
  5. Step 5: Solve for x
    x = 1,602,554,538,822,561/27,994,314
  6. Step 6: Final answer
    x = 57,245,715.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.