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Finding the Third Proportional to 452,154,367.69 and 979,442,824.22

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Solution

The third proportional to 452,154,367.69 and 979,442,824.22 is: 2,121,638,790.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,154,367.69 : 979,442,824.22 = 979,442,824.22 : x
  2. Step 2: Convert to fraction form
    452,154,367.69/979,442,824.22 = 979,442,824.22/x
  3. Step 3: Cross multiply
    452,154,367.69x = 979,442,824.22 × 979,442,824.22
  4. Step 4: Simplify right side
    452,154,367.69x = 959,308,245,913,620,864
  5. Step 5: Solve for x
    x = 959,308,245,913,620,864/452,154,367.69
  6. Step 6: Final answer
    x = 2,121,638,790.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.