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Finding the Third Proportional to 7,084,840 and 14,673,783

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Solution

The third proportional to 7,084,840 and 14,673,783 is: 30,391,640.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084,840 : 14,673,783 = 14,673,783 : x
  2. Step 2: Convert to fraction form
    7,084,840/14,673,783 = 14,673,783/x
  3. Step 3: Cross multiply
    7,084,840x = 14,673,783 × 14,673,783
  4. Step 4: Simplify right side
    7,084,840x = 215,319,907,531,089
  5. Step 5: Solve for x
    x = 215,319,907,531,089/7,084,840
  6. Step 6: Final answer
    x = 30,391,640.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.