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Finding the Third Proportional to 8,314,930.50 and 17,778,963

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Solution

The third proportional to 8,314,930.50 and 17,778,963 is: 38,014,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314,930.50 : 17,778,963 = 17,778,963 : x
  2. Step 2: Convert to fraction form
    8,314,930.50/17,778,963 = 17,778,963/x
  3. Step 3: Cross multiply
    8,314,930.50x = 17,778,963 × 17,778,963
  4. Step 4: Simplify right side
    8,314,930.50x = 316,091,525,355,369
  5. Step 5: Solve for x
    x = 316,091,525,355,369/8,314,930.50
  6. Step 6: Final answer
    x = 38,014,932.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.