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Finding the Third Proportional to 7,509,850.50 and 15,417,820.88

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Solution

The third proportional to 7,509,850.50 and 15,417,820.88 is: 31,652,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509,850.50 : 15,417,820.88 = 15,417,820.88 : x
  2. Step 2: Convert to fraction form
    7,509,850.50/15,417,820.88 = 15,417,820.88/x
  3. Step 3: Cross multiply
    7,509,850.50x = 15,417,820.88 × 15,417,820.88
  4. Step 4: Simplify right side
    7,509,850.50x = 237,709,200,533,585.75
  5. Step 5: Solve for x
    x = 237,709,200,533,585.75/7,509,850.50
  6. Step 6: Final answer
    x = 31,652,987.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.