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Finding the Third Proportional to 7,782,493.50 and 17,031,064.50

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Solution

The third proportional to 7,782,493.50 and 17,031,064.50 is: 37,270,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782,493.50 : 17,031,064.50 = 17,031,064.50 : x
  2. Step 2: Convert to fraction form
    7,782,493.50/17,031,064.50 = 17,031,064.50/x
  3. Step 3: Cross multiply
    7,782,493.50x = 17,031,064.50 × 17,031,064.50
  4. Step 4: Simplify right side
    7,782,493.50x = 290,057,158,003,160.25
  5. Step 5: Solve for x
    x = 290,057,158,003,160.25/7,782,493.50
  6. Step 6: Final answer
    x = 37,270,465.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.