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Finding the Third Proportional to 10,696,215 and 16,095,514.50

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Solution

The third proportional to 10,696,215 and 16,095,514.50 is: 24,220,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696,215 : 16,095,514.50 = 16,095,514.50 : x
  2. Step 2: Convert to fraction form
    10,696,215/16,095,514.50 = 16,095,514.50/x
  3. Step 3: Cross multiply
    10,696,215x = 16,095,514.50 × 16,095,514.50
  4. Step 4: Simplify right side
    10,696,215x = 259,065,587,019,710.25
  5. Step 5: Solve for x
    x = 259,065,587,019,710.25/10,696,215
  6. Step 6: Final answer
    x = 24,220,304.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.