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Finding the Third Proportional to 2,674,667,592 and 4,052,450,412

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Solution

The third proportional to 2,674,667,592 and 4,052,450,412 is: 6,139,960,864.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674,667,592 : 4,052,450,412 = 4,052,450,412 : x
  2. Step 2: Convert to fraction form
    2,674,667,592/4,052,450,412 = 4,052,450,412/x
  3. Step 3: Cross multiply
    2,674,667,592x = 4,052,450,412 × 4,052,450,412
  4. Step 4: Simplify right side
    2,674,667,592x = 16,422,354,341,718,970,368
  5. Step 5: Solve for x
    x = 16,422,354,341,718,970,368/2,674,667,592
  6. Step 6: Final answer
    x = 6,139,960,864.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.