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Finding the Third Proportional to 6,377,376 and 9,684,168

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Solution

The third proportional to 6,377,376 and 9,684,168 is: 14,705,595.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377,376 : 9,684,168 = 9,684,168 : x
  2. Step 2: Convert to fraction form
    6,377,376/9,684,168 = 9,684,168/x
  3. Step 3: Cross multiply
    6,377,376x = 9,684,168 × 9,684,168
  4. Step 4: Simplify right side
    6,377,376x = 93,783,109,852,224
  5. Step 5: Solve for x
    x = 93,783,109,852,224/6,377,376
  6. Step 6: Final answer
    x = 14,705,595.19

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