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Finding the Third Proportional to 3,099,628 and 6,688,564

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Solution

The third proportional to 3,099,628 and 6,688,564 is: 14,432,986.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099,628 : 6,688,564 = 6,688,564 : x
  2. Step 2: Convert to fraction form
    3,099,628/6,688,564 = 6,688,564/x
  3. Step 3: Cross multiply
    3,099,628x = 6,688,564 × 6,688,564
  4. Step 4: Simplify right side
    3,099,628x = 44,736,888,382,096
  5. Step 5: Solve for x
    x = 44,736,888,382,096/3,099,628
  6. Step 6: Final answer
    x = 14,432,986.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.