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Finding the Third Proportional to 2,931,078 and 6,363,486

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Solution

The third proportional to 2,931,078 and 6,363,486 is: 13,815,379.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,078 : 6,363,486 = 6,363,486 : x
  2. Step 2: Convert to fraction form
    2,931,078/6,363,486 = 6,363,486/x
  3. Step 3: Cross multiply
    2,931,078x = 6,363,486 × 6,363,486
  4. Step 4: Simplify right side
    2,931,078x = 40,493,954,072,196
  5. Step 5: Solve for x
    x = 40,493,954,072,196/2,931,078
  6. Step 6: Final answer
    x = 13,815,379.21

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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.