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Finding the Third Proportional to 6,998,097.75 and 15,341,405.63

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Solution

The third proportional to 6,998,097.75 and 15,341,405.63 is: 33,631,814.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998,097.75 : 15,341,405.63 = 15,341,405.63 : x
  2. Step 2: Convert to fraction form
    6,998,097.75/15,341,405.63 = 15,341,405.63/x
  3. Step 3: Cross multiply
    6,998,097.75x = 15,341,405.63 × 15,341,405.63
  4. Step 4: Simplify right side
    6,998,097.75x = 235,358,726,550,781.62
  5. Step 5: Solve for x
    x = 235,358,726,550,781.62/6,998,097.75
  6. Step 6: Final answer
    x = 33,631,814.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.