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Finding the Third Proportional to 2,416,209 and 5,210,518.50

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Solution

The third proportional to 2,416,209 and 5,210,518.50 is: 11,236,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,209 : 5,210,518.50 = 5,210,518.50 : x
  2. Step 2: Convert to fraction form
    2,416,209/5,210,518.50 = 5,210,518.50/x
  3. Step 3: Cross multiply
    2,416,209x = 5,210,518.50 × 5,210,518.50
  4. Step 4: Simplify right side
    2,416,209x = 27,149,503,038,842.25
  5. Step 5: Solve for x
    x = 27,149,503,038,842.25/2,416,209
  6. Step 6: Final answer
    x = 11,236,405.06

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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.