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Finding the Third Proportional to 3,409,050 and 7,358,884.50

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Solution

The third proportional to 3,409,050 and 7,358,884.50 is: 15,885,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409,050 : 7,358,884.50 = 7,358,884.50 : x
  2. Step 2: Convert to fraction form
    3,409,050/7,358,884.50 = 7,358,884.50/x
  3. Step 3: Cross multiply
    3,409,050x = 7,358,884.50 × 7,358,884.50
  4. Step 4: Simplify right side
    3,409,050x = 54,153,181,084,340.25
  5. Step 5: Solve for x
    x = 54,153,181,084,340.25/3,409,050
  6. Step 6: Final answer
    x = 15,885,123.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.