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Finding the Third Proportional to 20,985,009.75 and 45,382,866.75

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Solution

The third proportional to 20,985,009.75 and 45,382,866.75 is: 98,146,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985,009.75 : 45,382,866.75 = 45,382,866.75 : x
  2. Step 2: Convert to fraction form
    20,985,009.75/45,382,866.75 = 45,382,866.75/x
  3. Step 3: Cross multiply
    20,985,009.75x = 45,382,866.75 × 45,382,866.75
  4. Step 4: Simplify right side
    20,985,009.75x = 2,059,604,594,448,255.50
  5. Step 5: Solve for x
    x = 2,059,604,594,448,255.50/20,985,009.75
  6. Step 6: Final answer
    x = 98,146,468.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.