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Finding the Third Proportional to 6,965,709,460.50 and 15,155,793,375

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Solution

The third proportional to 6,965,709,460.50 and 15,155,793,375 is: 32,975,546,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965,709,460.50 : 15,155,793,375 = 15,155,793,375 : x
  2. Step 2: Convert to fraction form
    6,965,709,460.50/15,155,793,375 = 15,155,793,375/x
  3. Step 3: Cross multiply
    6,965,709,460.50x = 15,155,793,375 × 15,155,793,375
  4. Step 4: Simplify right side
    6,965,709,460.50x = 229,698,072,825,693,896,704
  5. Step 5: Solve for x
    x = 229,698,072,825,693,896,704/6,965,709,460.50
  6. Step 6: Final answer
    x = 32,975,546,012.68

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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.