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Finding the Third Proportional to 5,538,907 and 8,128,641

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Solution

The third proportional to 5,538,907 and 8,128,641 is: 11,929,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,907 : 8,128,641 = 8,128,641 : x
  2. Step 2: Convert to fraction form
    5,538,907/8,128,641 = 8,128,641/x
  3. Step 3: Cross multiply
    5,538,907x = 8,128,641 × 8,128,641
  4. Step 4: Simplify right side
    5,538,907x = 66,074,804,506,881
  5. Step 5: Solve for x
    x = 66,074,804,506,881/5,538,907
  6. Step 6: Final answer
    x = 11,929,213.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.