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Finding the Third Proportional to 45,024,316 and 91,638,456

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Solution

The third proportional to 45,024,316 and 91,638,456 is: 186,512,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,024,316 : 91,638,456 = 91,638,456 : x
  2. Step 2: Convert to fraction form
    45,024,316/91,638,456 = 91,638,456/x
  3. Step 3: Cross multiply
    45,024,316x = 91,638,456 × 91,638,456
  4. Step 4: Simplify right side
    45,024,316x = 8,397,606,618,063,936
  5. Step 5: Solve for x
    x = 8,397,606,618,063,936/45,024,316
  6. Step 6: Final answer
    x = 186,512,697.23

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.