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Finding the Third Proportional to 20,699,362,612 and 45,025,467,584

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Solution

The third proportional to 20,699,362,612 and 45,025,467,584 is: 97,939,862,649.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699,362,612 : 45,025,467,584 = 45,025,467,584 : x
  2. Step 2: Convert to fraction form
    20,699,362,612/45,025,467,584 = 45,025,467,584/x
  3. Step 3: Cross multiply
    20,699,362,612x = 45,025,467,584 × 45,025,467,584
  4. Step 4: Simplify right side
    20,699,362,612x = 2,027,292,731,157,834,891,264
  5. Step 5: Solve for x
    x = 2,027,292,731,157,834,891,264/20,699,362,612
  6. Step 6: Final answer
    x = 97,939,862,649.81

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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.