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Finding the Third Proportional to 10,264,725 and 14,350,770

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Solution

The third proportional to 10,264,725 and 14,350,770 is: 20,063,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264,725 : 14,350,770 = 14,350,770 : x
  2. Step 2: Convert to fraction form
    10,264,725/14,350,770 = 14,350,770/x
  3. Step 3: Cross multiply
    10,264,725x = 14,350,770 × 14,350,770
  4. Step 4: Simplify right side
    10,264,725x = 205,944,599,592,900
  5. Step 5: Solve for x
    x = 205,944,599,592,900/10,264,725
  6. Step 6: Final answer
    x = 20,063,333.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.