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Finding the Third Proportional to 10,402,380 and 13,802,856

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Solution

The third proportional to 10,402,380 and 13,802,856 is: 18,314,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,380 : 13,802,856 = 13,802,856 : x
  2. Step 2: Convert to fraction form
    10,402,380/13,802,856 = 13,802,856/x
  3. Step 3: Cross multiply
    10,402,380x = 13,802,856 × 13,802,856
  4. Step 4: Simplify right side
    10,402,380x = 190,518,833,756,736
  5. Step 5: Solve for x
    x = 190,518,833,756,736/10,402,380
  6. Step 6: Final answer
    x = 18,314,927.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.