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Finding the Third Proportional to 3,602,464.88 and 7,869,772.69

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Solution

The third proportional to 3,602,464.88 and 7,869,772.69 is: 17,191,929.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602,464.88 : 7,869,772.69 = 7,869,772.69 : x
  2. Step 2: Convert to fraction form
    3,602,464.88/7,869,772.69 = 7,869,772.69/x
  3. Step 3: Cross multiply
    3,602,464.88x = 7,869,772.69 × 7,869,772.69
  4. Step 4: Simplify right side
    3,602,464.88x = 61,933,322,152,920.97
  5. Step 5: Solve for x
    x = 61,933,322,152,920.97/3,602,464.88
  6. Step 6: Final answer
    x = 17,191,929.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.