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Finding the Third Proportional to 36,097,122.09 and 78,808,960.69

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Solution

The third proportional to 36,097,122.09 and 78,808,960.69 is: 172,059,486.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,097,122.09 : 78,808,960.69 = 78,808,960.69 : x
  2. Step 2: Convert to fraction form
    36,097,122.09/78,808,960.69 = 78,808,960.69/x
  3. Step 3: Cross multiply
    36,097,122.09x = 78,808,960.69 × 78,808,960.69
  4. Step 4: Simplify right side
    36,097,122.09x = 6,210,852,284,643,920
  5. Step 5: Solve for x
    x = 6,210,852,284,643,920/36,097,122.09
  6. Step 6: Final answer
    x = 172,059,486.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.