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Finding the Third Proportional to 6,977,454 and 9,424,194

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Solution

The third proportional to 6,977,454 and 9,424,194 is: 12,728,916.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977,454 : 9,424,194 = 9,424,194 : x
  2. Step 2: Convert to fraction form
    6,977,454/9,424,194 = 9,424,194/x
  3. Step 3: Cross multiply
    6,977,454x = 9,424,194 × 9,424,194
  4. Step 4: Simplify right side
    6,977,454x = 88,815,432,549,636
  5. Step 5: Solve for x
    x = 88,815,432,549,636/6,977,454
  6. Step 6: Final answer
    x = 12,728,916.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.