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Finding the Third Proportional to 20,699,361,952 and 45,025,466,308

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Solution

The third proportional to 20,699,361,952 and 45,025,466,308 is: 97,939,860,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,361,952 : 45,025,466,308 = 45,025,466,308 : x
  2. Step 2: Convert to fraction form
    20,699,361,952/45,025,466,308 = 45,025,466,308/x
  3. Step 3: Cross multiply
    20,699,361,952x = 45,025,466,308 × 45,025,466,308
  4. Step 4: Simplify right side
    20,699,361,952x = 2,027,292,616,252,843,098,112
  5. Step 5: Solve for x
    x = 2,027,292,616,252,843,098,112/20,699,361,952
  6. Step 6: Final answer
    x = 97,939,860,221.49

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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.