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Finding the Third Proportional to 2,883,942 and 6,140,646

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Solution

The third proportional to 2,883,942 and 6,140,646 is: 13,074,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883,942 : 6,140,646 = 6,140,646 : x
  2. Step 2: Convert to fraction form
    2,883,942/6,140,646 = 6,140,646/x
  3. Step 3: Cross multiply
    2,883,942x = 6,140,646 × 6,140,646
  4. Step 4: Simplify right side
    2,883,942x = 37,707,533,297,316
  5. Step 5: Solve for x
    x = 37,707,533,297,316/2,883,942
  6. Step 6: Final answer
    x = 13,074,997.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.