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Finding the Third Proportional to 20,699,362,616 and 45,025,467,592

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Solution

The third proportional to 20,699,362,616 and 45,025,467,592 is: 97,939,862,665.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,362,616 : 45,025,467,592 = 45,025,467,592 : x
  2. Step 2: Convert to fraction form
    20,699,362,616/45,025,467,592 = 45,025,467,592/x
  3. Step 3: Cross multiply
    20,699,362,616x = 45,025,467,592 × 45,025,467,592
  4. Step 4: Simplify right side
    20,699,362,616x = 2,027,292,731,878,242,254,848
  5. Step 5: Solve for x
    x = 2,027,292,731,878,242,254,848/20,699,362,616
  6. Step 6: Final answer
    x = 97,939,862,665.68

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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.