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Finding the Third Proportional to 7,097,733.50 and 15,441,033

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Solution

The third proportional to 7,097,733.50 and 15,441,033 is: 33,591,779.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097,733.50 : 15,441,033 = 15,441,033 : x
  2. Step 2: Convert to fraction form
    7,097,733.50/15,441,033 = 15,441,033/x
  3. Step 3: Cross multiply
    7,097,733.50x = 15,441,033 × 15,441,033
  4. Step 4: Simplify right side
    7,097,733.50x = 238,425,500,107,089
  5. Step 5: Solve for x
    x = 238,425,500,107,089/7,097,733.50
  6. Step 6: Final answer
    x = 33,591,779.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.