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Finding the Third Proportional to 3,178,533 and 6,961,699.50

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Solution

The third proportional to 3,178,533 and 6,961,699.50 is: 15,247,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178,533 : 6,961,699.50 = 6,961,699.50 : x
  2. Step 2: Convert to fraction form
    3,178,533/6,961,699.50 = 6,961,699.50/x
  3. Step 3: Cross multiply
    3,178,533x = 6,961,699.50 × 6,961,699.50
  4. Step 4: Simplify right side
    3,178,533x = 48,465,259,928,300.25
  5. Step 5: Solve for x
    x = 48,465,259,928,300.25/3,178,533
  6. Step 6: Final answer
    x = 15,247,681.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.