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Finding the Third Proportional to 6,784,943 and 14,632,741

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Solution

The third proportional to 6,784,943 and 14,632,741 is: 31,557,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784,943 : 14,632,741 = 14,632,741 : x
  2. Step 2: Convert to fraction form
    6,784,943/14,632,741 = 14,632,741/x
  3. Step 3: Cross multiply
    6,784,943x = 14,632,741 × 14,632,741
  4. Step 4: Simplify right side
    6,784,943x = 214,117,109,173,081
  5. Step 5: Solve for x
    x = 214,117,109,173,081/6,784,943
  6. Step 6: Final answer
    x = 31,557,687.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.