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Finding the Third Proportional to 6,905,680 and 10,454,376

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Solution

The third proportional to 6,905,680 and 10,454,376 is: 15,826,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,680 : 10,454,376 = 10,454,376 : x
  2. Step 2: Convert to fraction form
    6,905,680/10,454,376 = 10,454,376/x
  3. Step 3: Cross multiply
    6,905,680x = 10,454,376 × 10,454,376
  4. Step 4: Simplify right side
    6,905,680x = 109,293,977,549,376
  5. Step 5: Solve for x
    x = 109,293,977,549,376/6,905,680
  6. Step 6: Final answer
    x = 15,826,678.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.