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Finding the Third Proportional to 9,588,458.25 and 20,970,495.66

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Solution

The third proportional to 9,588,458.25 and 20,970,495.66 is: 45,863,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588,458.25 : 20,970,495.66 = 20,970,495.66 : x
  2. Step 2: Convert to fraction form
    9,588,458.25/20,970,495.66 = 20,970,495.66/x
  3. Step 3: Cross multiply
    9,588,458.25x = 20,970,495.66 × 20,970,495.66
  4. Step 4: Simplify right side
    9,588,458.25x = 439,761,688,068,800.12
  5. Step 5: Solve for x
    x = 439,761,688,068,800.12/9,588,458.25
  6. Step 6: Final answer
    x = 45,863,649.46

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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.