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Finding the Third Proportional to 8,205,807 and 17,856,492

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Solution

The third proportional to 8,205,807 and 17,856,492 is: 38,857,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205,807 : 17,856,492 = 17,856,492 : x
  2. Step 2: Convert to fraction form
    8,205,807/17,856,492 = 17,856,492/x
  3. Step 3: Cross multiply
    8,205,807x = 17,856,492 × 17,856,492
  4. Step 4: Simplify right side
    8,205,807x = 318,854,306,546,064
  5. Step 5: Solve for x
    x = 318,854,306,546,064/8,205,807
  6. Step 6: Final answer
    x = 38,857,154.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.