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Finding the Third Proportional to 6,173,407 and 13,294,995

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Solution

The third proportional to 6,173,407 and 13,294,995 is: 28,631,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173,407 : 13,294,995 = 13,294,995 : x
  2. Step 2: Convert to fraction form
    6,173,407/13,294,995 = 13,294,995/x
  3. Step 3: Cross multiply
    6,173,407x = 13,294,995 × 13,294,995
  4. Step 4: Simplify right side
    6,173,407x = 176,756,892,050,025
  5. Step 5: Solve for x
    x = 176,756,892,050,025/6,173,407
  6. Step 6: Final answer
    x = 28,631,984.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.