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Finding the Third Proportional to 7,565,454 and 16,416,918

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Solution

The third proportional to 7,565,454 and 16,416,918 is: 35,624,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565,454 : 16,416,918 = 16,416,918 : x
  2. Step 2: Convert to fraction form
    7,565,454/16,416,918 = 16,416,918/x
  3. Step 3: Cross multiply
    7,565,454x = 16,416,918 × 16,416,918
  4. Step 4: Simplify right side
    7,565,454x = 269,515,196,618,724
  5. Step 5: Solve for x
    x = 269,515,196,618,724/7,565,454
  6. Step 6: Final answer
    x = 35,624,457.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.