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Finding the Third Proportional to 6,141,763.50 and 9,633,783

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Solution

The third proportional to 6,141,763.50 and 9,633,783 is: 15,111,258.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141,763.50 : 9,633,783 = 9,633,783 : x
  2. Step 2: Convert to fraction form
    6,141,763.50/9,633,783 = 9,633,783/x
  3. Step 3: Cross multiply
    6,141,763.50x = 9,633,783 × 9,633,783
  4. Step 4: Simplify right side
    6,141,763.50x = 92,809,774,891,089
  5. Step 5: Solve for x
    x = 92,809,774,891,089/6,141,763.50
  6. Step 6: Final answer
    x = 15,111,258.34

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.