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Finding the Third Proportional to 6,490,203 and 13,849,087.50

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Solution

The third proportional to 6,490,203 and 13,849,087.50 is: 29,551,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,203 : 13,849,087.50 = 13,849,087.50 : x
  2. Step 2: Convert to fraction form
    6,490,203/13,849,087.50 = 13,849,087.50/x
  3. Step 3: Cross multiply
    6,490,203x = 13,849,087.50 × 13,849,087.50
  4. Step 4: Simplify right side
    6,490,203x = 191,797,224,582,656.25
  5. Step 5: Solve for x
    x = 191,797,224,582,656.25/6,490,203
  6. Step 6: Final answer
    x = 29,551,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.