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Finding the Third Proportional to 6,151,254 and 14,372,106

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Solution

The third proportional to 6,151,254 and 14,372,106 is: 33,579,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151,254 : 14,372,106 = 14,372,106 : x
  2. Step 2: Convert to fraction form
    6,151,254/14,372,106 = 14,372,106/x
  3. Step 3: Cross multiply
    6,151,254x = 14,372,106 × 14,372,106
  4. Step 4: Simplify right side
    6,151,254x = 206,557,430,875,236
  5. Step 5: Solve for x
    x = 206,557,430,875,236/6,151,254
  6. Step 6: Final answer
    x = 33,579,727.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.