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Finding the Third Proportional to 27,994,322 and 40,031,924

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Solution

The third proportional to 27,994,322 and 40,031,924 is: 57,245,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994,322 : 40,031,924 = 40,031,924 : x
  2. Step 2: Convert to fraction form
    27,994,322/40,031,924 = 40,031,924/x
  3. Step 3: Cross multiply
    27,994,322x = 40,031,924 × 40,031,924
  4. Step 4: Simplify right side
    27,994,322x = 1,602,554,939,141,776
  5. Step 5: Solve for x
    x = 1,602,554,939,141,776/27,994,322
  6. Step 6: Final answer
    x = 57,245,713.58

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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.