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Finding the Third Proportional to 3,099,026 and 6,746,961

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Solution

The third proportional to 3,099,026 and 6,746,961 is: 14,688,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,026 : 6,746,961 = 6,746,961 : x
  2. Step 2: Convert to fraction form
    3,099,026/6,746,961 = 6,746,961/x
  3. Step 3: Cross multiply
    3,099,026x = 6,746,961 × 6,746,961
  4. Step 4: Simplify right side
    3,099,026x = 45,521,482,735,521
  5. Step 5: Solve for x
    x = 45,521,482,735,521/3,099,026
  6. Step 6: Final answer
    x = 14,688,964.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.