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Finding the Third Proportional to 3,638,955,768 and 5,200,152,078

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Solution

The third proportional to 3,638,955,768 and 5,200,152,078 is: 7,431,137,765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,955,768 : 5,200,152,078 = 5,200,152,078 : x
  2. Step 2: Convert to fraction form
    3,638,955,768/5,200,152,078 = 5,200,152,078/x
  3. Step 3: Cross multiply
    3,638,955,768x = 5,200,152,078 × 5,200,152,078
  4. Step 4: Simplify right side
    3,638,955,768x = 27,041,581,634,327,719,936
  5. Step 5: Solve for x
    x = 27,041,581,634,327,719,936/3,638,955,768
  6. Step 6: Final answer
    x = 7,431,137,765.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.