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Finding the Third Proportional to 10,726,602 and 23,458,512

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Solution

The third proportional to 10,726,602 and 23,458,512 is: 51,302,526.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726,602 : 23,458,512 = 23,458,512 : x
  2. Step 2: Convert to fraction form
    10,726,602/23,458,512 = 23,458,512/x
  3. Step 3: Cross multiply
    10,726,602x = 23,458,512 × 23,458,512
  4. Step 4: Simplify right side
    10,726,602x = 550,301,785,254,144
  5. Step 5: Solve for x
    x = 550,301,785,254,144/10,726,602
  6. Step 6: Final answer
    x = 51,302,526.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.