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Finding the Third Proportional to 5,746,407 and 12,501,723

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Solution

The third proportional to 5,746,407 and 12,501,723 is: 27,198,400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746,407 : 12,501,723 = 12,501,723 : x
  2. Step 2: Convert to fraction form
    5,746,407/12,501,723 = 12,501,723/x
  3. Step 3: Cross multiply
    5,746,407x = 12,501,723 × 12,501,723
  4. Step 4: Simplify right side
    5,746,407x = 156,293,077,968,729
  5. Step 5: Solve for x
    x = 156,293,077,968,729/5,746,407
  6. Step 6: Final answer
    x = 27,198,400.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.