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Finding the Third Proportional to 6,214,844 and 13,559,464

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Solution

The third proportional to 6,214,844 and 13,559,464 is: 29,583,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,844 : 13,559,464 = 13,559,464 : x
  2. Step 2: Convert to fraction form
    6,214,844/13,559,464 = 13,559,464/x
  3. Step 3: Cross multiply
    6,214,844x = 13,559,464 × 13,559,464
  4. Step 4: Simplify right side
    6,214,844x = 183,859,063,967,296
  5. Step 5: Solve for x
    x = 183,859,063,967,296/6,214,844
  6. Step 6: Final answer
    x = 29,583,858.25

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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.