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Finding the Third Proportional to 27,994,297.50 and 40,031,894.25

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Solution

The third proportional to 27,994,297.50 and 40,031,894.25 is: 57,245,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,994,297.50 : 40,031,894.25 = 40,031,894.25 : x
  2. Step 2: Convert to fraction form
    27,994,297.50/40,031,894.25 = 40,031,894.25/x
  3. Step 3: Cross multiply
    27,994,297.50x = 40,031,894.25 × 40,031,894.25
  4. Step 4: Simplify right side
    27,994,297.50x = 1,602,552,557,243,183
  5. Step 5: Solve for x
    x = 1,602,552,557,243,183/27,994,297.50
  6. Step 6: Final answer
    x = 57,245,678.60

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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.