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Finding the Third Proportional to 5,186,402.16 and 7,611,451.03

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Solution

The third proportional to 5,186,402.16 and 7,611,451.03 is: 11,170,400.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186,402.16 : 7,611,451.03 = 7,611,451.03 : x
  2. Step 2: Convert to fraction form
    5,186,402.16/7,611,451.03 = 7,611,451.03/x
  3. Step 3: Cross multiply
    5,186,402.16x = 7,611,451.03 × 7,611,451.03
  4. Step 4: Simplify right side
    5,186,402.16x = 57,934,186,801,116.69
  5. Step 5: Solve for x
    x = 57,934,186,801,116.69/5,186,402.16
  6. Step 6: Final answer
    x = 11,170,400.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.