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Finding the Third Proportional to 10,471,746 and 16,205,283

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Solution

The third proportional to 10,471,746 and 16,205,283 is: 25,078,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471,746 : 16,205,283 = 16,205,283 : x
  2. Step 2: Convert to fraction form
    10,471,746/16,205,283 = 16,205,283/x
  3. Step 3: Cross multiply
    10,471,746x = 16,205,283 × 16,205,283
  4. Step 4: Simplify right side
    10,471,746x = 262,611,197,110,089
  5. Step 5: Solve for x
    x = 262,611,197,110,089/10,471,746
  6. Step 6: Final answer
    x = 25,078,071.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.