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Finding the Third Proportional to 6,070,426.50 and 13,006,230

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Solution

The third proportional to 6,070,426.50 and 13,006,230 is: 27,866,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,070,426.50 : 13,006,230 = 13,006,230 : x
  2. Step 2: Convert to fraction form
    6,070,426.50/13,006,230 = 13,006,230/x
  3. Step 3: Cross multiply
    6,070,426.50x = 13,006,230 × 13,006,230
  4. Step 4: Simplify right side
    6,070,426.50x = 169,162,018,812,900
  5. Step 5: Solve for x
    x = 169,162,018,812,900/6,070,426.50
  6. Step 6: Final answer
    x = 27,866,578.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.