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Finding the Third Proportional to 8,242,053.75 and 12,116,130.19

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Solution

The third proportional to 8,242,053.75 and 12,116,130.19 is: 17,811,168.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,053.75 : 12,116,130.19 = 12,116,130.19 : x
  2. Step 2: Convert to fraction form
    8,242,053.75/12,116,130.19 = 12,116,130.19/x
  3. Step 3: Cross multiply
    8,242,053.75x = 12,116,130.19 × 12,116,130.19
  4. Step 4: Simplify right side
    8,242,053.75x = 146,800,610,720,448.78
  5. Step 5: Solve for x
    x = 146,800,610,720,448.78/8,242,053.75
  6. Step 6: Final answer
    x = 17,811,168.81

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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.