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Finding the Third Proportional to 6,490,206 and 13,849,093.50

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Solution

The third proportional to 6,490,206 and 13,849,093.50 is: 29,551,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,206 : 13,849,093.50 = 13,849,093.50 : x
  2. Step 2: Convert to fraction form
    6,490,206/13,849,093.50 = 13,849,093.50/x
  3. Step 3: Cross multiply
    6,490,206x = 13,849,093.50 × 13,849,093.50
  4. Step 4: Simplify right side
    6,490,206x = 191,797,390,771,742.25
  5. Step 5: Solve for x
    x = 191,797,390,771,742.25/6,490,206
  6. Step 6: Final answer
    x = 29,551,818.66

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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.