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Finding the Third Proportional to 10,693,968 and 23,092,608

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Solution

The third proportional to 10,693,968 and 23,092,608 is: 49,866,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693,968 : 23,092,608 = 23,092,608 : x
  2. Step 2: Convert to fraction form
    10,693,968/23,092,608 = 23,092,608/x
  3. Step 3: Cross multiply
    10,693,968x = 23,092,608 × 23,092,608
  4. Step 4: Simplify right side
    10,693,968x = 533,268,544,241,664
  5. Step 5: Solve for x
    x = 533,268,544,241,664/10,693,968
  6. Step 6: Final answer
    x = 49,866,293.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.