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Finding the Third Proportional to 20,064,384 and 30,566,016

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Solution

The third proportional to 20,064,384 and 30,566,016 is: 46,564,167.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,064,384 : 30,566,016 = 30,566,016 : x
  2. Step 2: Convert to fraction form
    20,064,384/30,566,016 = 30,566,016/x
  3. Step 3: Cross multiply
    20,064,384x = 30,566,016 × 30,566,016
  4. Step 4: Simplify right side
    20,064,384x = 934,281,334,112,256
  5. Step 5: Solve for x
    x = 934,281,334,112,256/20,064,384
  6. Step 6: Final answer
    x = 46,564,167.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.