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Finding the Third Proportional to 3,037,320 and 6,416,154

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Solution

The third proportional to 3,037,320 and 6,416,154 is: 13,553,735.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,037,320 : 6,416,154 = 6,416,154 : x
  2. Step 2: Convert to fraction form
    3,037,320/6,416,154 = 6,416,154/x
  3. Step 3: Cross multiply
    3,037,320x = 6,416,154 × 6,416,154
  4. Step 4: Simplify right side
    3,037,320x = 41,167,032,151,716
  5. Step 5: Solve for x
    x = 41,167,032,151,716/3,037,320
  6. Step 6: Final answer
    x = 13,553,735.58

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.