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Finding the Third Proportional to 19,804,838 and 30,295,738

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Solution

The third proportional to 19,804,838 and 30,295,738 is: 46,343,814.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804,838 : 30,295,738 = 30,295,738 : x
  2. Step 2: Convert to fraction form
    19,804,838/30,295,738 = 30,295,738/x
  3. Step 3: Cross multiply
    19,804,838x = 30,295,738 × 30,295,738
  4. Step 4: Simplify right side
    19,804,838x = 917,831,740,964,644
  5. Step 5: Solve for x
    x = 917,831,740,964,644/19,804,838
  6. Step 6: Final answer
    x = 46,343,814.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.