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Finding the Third Proportional to 4,208,142 and 9,059,854.50

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Solution

The third proportional to 4,208,142 and 9,059,854.50 is: 19,505,274.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208,142 : 9,059,854.50 = 9,059,854.50 : x
  2. Step 2: Convert to fraction form
    4,208,142/9,059,854.50 = 9,059,854.50/x
  3. Step 3: Cross multiply
    4,208,142x = 9,059,854.50 × 9,059,854.50
  4. Step 4: Simplify right side
    4,208,142x = 82,080,963,561,170.25
  5. Step 5: Solve for x
    x = 82,080,963,561,170.25/4,208,142
  6. Step 6: Final answer
    x = 19,505,274.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.