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Finding the Third Proportional to 4,575,342 and 9,529,641

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Solution

The third proportional to 4,575,342 and 9,529,641 is: 19,848,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575,342 : 9,529,641 = 9,529,641 : x
  2. Step 2: Convert to fraction form
    4,575,342/9,529,641 = 9,529,641/x
  3. Step 3: Cross multiply
    4,575,342x = 9,529,641 × 9,529,641
  4. Step 4: Simplify right side
    4,575,342x = 90,814,057,588,881
  5. Step 5: Solve for x
    x = 90,814,057,588,881/4,575,342
  6. Step 6: Final answer
    x = 19,848,583.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.