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Finding the Third Proportional to 4,208,532.19 and 9,046,429.31

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Solution

The third proportional to 4,208,532.19 and 9,046,429.31 is: 19,445,706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208,532.19 : 9,046,429.31 = 9,046,429.31 : x
  2. Step 2: Convert to fraction form
    4,208,532.19/9,046,429.31 = 9,046,429.31/x
  3. Step 3: Cross multiply
    4,208,532.19x = 9,046,429.31 × 9,046,429.31
  4. Step 4: Simplify right side
    4,208,532.19x = 81,837,883,306,059.22
  5. Step 5: Solve for x
    x = 81,837,883,306,059.22/4,208,532.19
  6. Step 6: Final answer
    x = 19,445,706.88

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