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Finding the Third Proportional to 36,009,133.50 and 78,848,511

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Solution

The third proportional to 36,009,133.50 and 78,848,511 is: 172,653,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,009,133.50 : 78,848,511 = 78,848,511 : x
  2. Step 2: Convert to fraction form
    36,009,133.50/78,848,511 = 78,848,511/x
  3. Step 3: Cross multiply
    36,009,133.50x = 78,848,511 × 78,848,511
  4. Step 4: Simplify right side
    36,009,133.50x = 6,217,087,686,917,121
  5. Step 5: Solve for x
    x = 6,217,087,686,917,121/36,009,133.50
  6. Step 6: Final answer
    x = 172,653,076.67

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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.