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Finding the Third Proportional to 2,948,656 and 6,307,178

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Solution

The third proportional to 2,948,656 and 6,307,178 is: 13,491,059.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948,656 : 6,307,178 = 6,307,178 : x
  2. Step 2: Convert to fraction form
    2,948,656/6,307,178 = 6,307,178/x
  3. Step 3: Cross multiply
    2,948,656x = 6,307,178 × 6,307,178
  4. Step 4: Simplify right side
    2,948,656x = 39,780,494,323,684
  5. Step 5: Solve for x
    x = 39,780,494,323,684/2,948,656
  6. Step 6: Final answer
    x = 13,491,059.77

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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.