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Finding the Third Proportional to 5,464,208 and 8,779,512

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Solution

The third proportional to 5,464,208 and 8,779,512 is: 14,106,313.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464,208 : 8,779,512 = 8,779,512 : x
  2. Step 2: Convert to fraction form
    5,464,208/8,779,512 = 8,779,512/x
  3. Step 3: Cross multiply
    5,464,208x = 8,779,512 × 8,779,512
  4. Step 4: Simplify right side
    5,464,208x = 77,079,830,958,144
  5. Step 5: Solve for x
    x = 77,079,830,958,144/5,464,208
  6. Step 6: Final answer
    x = 14,106,313.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.