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Finding the Third Proportional to 4,972,917.64 and 7,428,698.66

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Solution

The third proportional to 4,972,917.64 and 7,428,698.66 is: 11,097,220.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,917.64 : 7,428,698.66 = 7,428,698.66 : x
  2. Step 2: Convert to fraction form
    4,972,917.64/7,428,698.66 = 7,428,698.66/x
  3. Step 3: Cross multiply
    4,972,917.64x = 7,428,698.66 × 7,428,698.66
  4. Step 4: Simplify right side
    4,972,917.64x = 55,185,563,739,880.29
  5. Step 5: Solve for x
    x = 55,185,563,739,880.29/4,972,917.64
  6. Step 6: Final answer
    x = 11,097,220.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.