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Finding the Third Proportional to 10,976,580 and 16,071,210

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Solution

The third proportional to 10,976,580 and 16,071,210 is: 23,530,443.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,976,580 : 16,071,210 = 16,071,210 : x
  2. Step 2: Convert to fraction form
    10,976,580/16,071,210 = 16,071,210/x
  3. Step 3: Cross multiply
    10,976,580x = 16,071,210 × 16,071,210
  4. Step 4: Simplify right side
    10,976,580x = 258,283,790,864,100
  5. Step 5: Solve for x
    x = 258,283,790,864,100/10,976,580
  6. Step 6: Final answer
    x = 23,530,443.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.