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Finding the Third Proportional to 6,258,642 and 14,488,824

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Solution

The third proportional to 6,258,642 and 14,488,824 is: 33,541,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,258,642 : 14,488,824 = 14,488,824 : x
  2. Step 2: Convert to fraction form
    6,258,642/14,488,824 = 14,488,824/x
  3. Step 3: Cross multiply
    6,258,642x = 14,488,824 × 14,488,824
  4. Step 4: Simplify right side
    6,258,642x = 209,926,020,902,976
  5. Step 5: Solve for x
    x = 209,926,020,902,976/6,258,642
  6. Step 6: Final answer
    x = 33,541,784.45

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.