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Finding the Third Proportional to 36,009,133 and 78,848,509

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Solution

The third proportional to 36,009,133 and 78,848,509 is: 172,653,070.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009,133 : 78,848,509 = 78,848,509 : x
  2. Step 2: Convert to fraction form
    36,009,133/78,848,509 = 78,848,509/x
  3. Step 3: Cross multiply
    36,009,133x = 78,848,509 × 78,848,509
  4. Step 4: Simplify right side
    36,009,133x = 6,217,087,371,523,081
  5. Step 5: Solve for x
    x = 6,217,087,371,523,081/36,009,133
  6. Step 6: Final answer
    x = 172,653,070.31

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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.