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Finding the Third Proportional to 38,286,026 and 84,011,010

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Solution

The third proportional to 38,286,026 and 84,011,010 is: 184,345,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286,026 : 84,011,010 = 84,011,010 : x
  2. Step 2: Convert to fraction form
    38,286,026/84,011,010 = 84,011,010/x
  3. Step 3: Cross multiply
    38,286,026x = 84,011,010 × 84,011,010
  4. Step 4: Simplify right side
    38,286,026x = 7,057,849,801,220,100
  5. Step 5: Solve for x
    x = 7,057,849,801,220,100/38,286,026
  6. Step 6: Final answer
    x = 184,345,322.27

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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.