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Finding the Third Proportional to 4,197,194.72 and 9,177,341.13

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Solution

The third proportional to 4,197,194.72 and 9,177,341.13 is: 20,066,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197,194.72 : 9,177,341.13 = 9,177,341.13 : x
  2. Step 2: Convert to fraction form
    4,197,194.72/9,177,341.13 = 9,177,341.13/x
  3. Step 3: Cross multiply
    4,197,194.72x = 9,177,341.13 × 9,177,341.13
  4. Step 4: Simplify right side
    4,197,194.72x = 84,223,590,268,012.22
  5. Step 5: Solve for x
    x = 84,223,590,268,012.22/4,197,194.72
  6. Step 6: Final answer
    x = 20,066,638.77

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Why These Related Problems?

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