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Finding the Third Proportional to 20,699,363,388 and 45,025,468,850

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Solution

The third proportional to 20,699,363,388 and 45,025,468,850 is: 97,939,864,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,363,388 : 45,025,468,850 = 45,025,468,850 : x
  2. Step 2: Convert to fraction form
    20,699,363,388/45,025,468,850 = 45,025,468,850/x
  3. Step 3: Cross multiply
    20,699,363,388x = 45,025,468,850 × 45,025,468,850
  4. Step 4: Simplify right side
    20,699,363,388x = 2,027,292,845,162,320,363,520
  5. Step 5: Solve for x
    x = 2,027,292,845,162,320,363,520/20,699,363,388
  6. Step 6: Final answer
    x = 97,939,864,485.76

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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.