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Finding the Third Proportional to 7,487,564 and 10,699,902

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Solution

The third proportional to 7,487,564 and 10,699,902 is: 15,290,407.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487,564 : 10,699,902 = 10,699,902 : x
  2. Step 2: Convert to fraction form
    7,487,564/10,699,902 = 10,699,902/x
  3. Step 3: Cross multiply
    7,487,564x = 10,699,902 × 10,699,902
  4. Step 4: Simplify right side
    7,487,564x = 114,487,902,809,604
  5. Step 5: Solve for x
    x = 114,487,902,809,604/7,487,564
  6. Step 6: Final answer
    x = 15,290,407.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.