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Finding the Third Proportional to 20,699,361,888 and 45,025,466,174

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Solution

The third proportional to 20,699,361,888 and 45,025,466,174 is: 97,939,859,941.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,361,888 : 45,025,466,174 = 45,025,466,174 : x
  2. Step 2: Convert to fraction form
    20,699,361,888/45,025,466,174 = 45,025,466,174/x
  3. Step 3: Cross multiply
    20,699,361,888x = 45,025,466,174 × 45,025,466,174
  4. Step 4: Simplify right side
    20,699,361,888x = 2,027,292,604,186,018,185,216
  5. Step 5: Solve for x
    x = 2,027,292,604,186,018,185,216/20,699,361,888
  6. Step 6: Final answer
    x = 97,939,859,941.35

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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.