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Finding the Third Proportional to 6,377,377 and 9,684,164

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Solution

The third proportional to 6,377,377 and 9,684,164 is: 14,705,580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,377 : 9,684,164 = 9,684,164 : x
  2. Step 2: Convert to fraction form
    6,377,377/9,684,164 = 9,684,164/x
  3. Step 3: Cross multiply
    6,377,377x = 9,684,164 × 9,684,164
  4. Step 4: Simplify right side
    6,377,377x = 93,783,032,378,896
  5. Step 5: Solve for x
    x = 93,783,032,378,896/6,377,377
  6. Step 6: Final answer
    x = 14,705,580.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.