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Finding the Third Proportional to 4,310,661.94 and 6,484,100.06

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Solution

The third proportional to 4,310,661.94 and 6,484,100.06 is: 9,753,386.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310,661.94 : 6,484,100.06 = 6,484,100.06 : x
  2. Step 2: Convert to fraction form
    4,310,661.94/6,484,100.06 = 6,484,100.06/x
  3. Step 3: Cross multiply
    4,310,661.94x = 6,484,100.06 × 6,484,100.06
  4. Step 4: Simplify right side
    4,310,661.94x = 42,043,553,620,512.50
  5. Step 5: Solve for x
    x = 42,043,553,620,512.50/4,310,661.94
  6. Step 6: Final answer
    x = 9,753,386.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.