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Finding the Third Proportional to 2,941,457 and 6,371,347

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Solution

The third proportional to 2,941,457 and 6,371,347 is: 13,800,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,941,457 : 6,371,347 = 6,371,347 : x
  2. Step 2: Convert to fraction form
    2,941,457/6,371,347 = 6,371,347/x
  3. Step 3: Cross multiply
    2,941,457x = 6,371,347 × 6,371,347
  4. Step 4: Simplify right side
    2,941,457x = 40,594,062,594,409
  5. Step 5: Solve for x
    x = 40,594,062,594,409/2,941,457
  6. Step 6: Final answer
    x = 13,800,664.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.