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Finding the Third Proportional to 4,208,506.88 and 9,046,371.94

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Solution

The third proportional to 4,208,506.88 and 9,046,371.94 is: 19,445,577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,208,506.88 : 9,046,371.94 = 9,046,371.94 : x
  2. Step 2: Convert to fraction form
    4,208,506.88/9,046,371.94 = 9,046,371.94/x
  3. Step 3: Cross multiply
    4,208,506.88x = 9,046,371.94 × 9,046,371.94
  4. Step 4: Simplify right side
    4,208,506.88x = 81,836,845,231,587.50
  5. Step 5: Solve for x
    x = 81,836,845,231,587.50/4,208,506.88
  6. Step 6: Final answer
    x = 19,445,577.18

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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.