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Finding the Third Proportional to 6,832,300.50 and 10,319,028.75

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Solution

The third proportional to 6,832,300.50 and 10,319,028.75 is: 15,585,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832,300.50 : 10,319,028.75 = 10,319,028.75 : x
  2. Step 2: Convert to fraction form
    6,832,300.50/10,319,028.75 = 10,319,028.75/x
  3. Step 3: Cross multiply
    6,832,300.50x = 10,319,028.75 × 10,319,028.75
  4. Step 4: Simplify right side
    6,832,300.50x = 106,482,354,343,326.56
  5. Step 5: Solve for x
    x = 106,482,354,343,326.56/6,832,300.50
  6. Step 6: Final answer
    x = 15,585,139.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.