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Finding the Third Proportional to 3,029,114 and 6,478,420

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Solution

The third proportional to 3,029,114 and 6,478,420 is: 13,855,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029,114 : 6,478,420 = 6,478,420 : x
  2. Step 2: Convert to fraction form
    3,029,114/6,478,420 = 6,478,420/x
  3. Step 3: Cross multiply
    3,029,114x = 6,478,420 × 6,478,420
  4. Step 4: Simplify right side
    3,029,114x = 41,969,925,696,400
  5. Step 5: Solve for x
    x = 41,969,925,696,400/3,029,114
  6. Step 6: Final answer
    x = 13,855,512.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.