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Finding the Third Proportional to 4,046,442.75 and 8,666,784

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Solution

The third proportional to 4,046,442.75 and 8,666,784 is: 18,562,759.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,046,442.75 : 8,666,784 = 8,666,784 : x
  2. Step 2: Convert to fraction form
    4,046,442.75/8,666,784 = 8,666,784/x
  3. Step 3: Cross multiply
    4,046,442.75x = 8,666,784 × 8,666,784
  4. Step 4: Simplify right side
    4,046,442.75x = 75,113,144,902,656
  5. Step 5: Solve for x
    x = 75,113,144,902,656/4,046,442.75
  6. Step 6: Final answer
    x = 18,562,759.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.