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Finding the Third Proportional to 2,335,147,410 and 5,076,751,524

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Solution

The third proportional to 2,335,147,410 and 5,076,751,524 is: 11,037,164,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335,147,410 : 5,076,751,524 = 5,076,751,524 : x
  2. Step 2: Convert to fraction form
    2,335,147,410/5,076,751,524 = 5,076,751,524/x
  3. Step 3: Cross multiply
    2,335,147,410x = 5,076,751,524 × 5,076,751,524
  4. Step 4: Simplify right side
    2,335,147,410x = 25,773,406,036,436,324,352
  5. Step 5: Solve for x
    x = 25,773,406,036,436,324,352/2,335,147,410
  6. Step 6: Final answer
    x = 11,037,164,474.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.