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Finding the Third Proportional to 7,946,950.50 and 17,163,910.13

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Solution

The third proportional to 7,946,950.50 and 17,163,910.13 is: 37,070,799.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946,950.50 : 17,163,910.13 = 17,163,910.13 : x
  2. Step 2: Convert to fraction form
    7,946,950.50/17,163,910.13 = 17,163,910.13/x
  3. Step 3: Cross multiply
    7,946,950.50x = 17,163,910.13 × 17,163,910.13
  4. Step 4: Simplify right side
    7,946,950.50x = 294,599,810,779,077.50
  5. Step 5: Solve for x
    x = 294,599,810,779,077.50/7,946,950.50
  6. Step 6: Final answer
    x = 37,070,799.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.