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Finding the Third Proportional to 19,735,424 and 30,373,824

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Solution

The third proportional to 19,735,424 and 30,373,824 is: 46,746,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,735,424 : 30,373,824 = 30,373,824 : x
  2. Step 2: Convert to fraction form
    19,735,424/30,373,824 = 30,373,824/x
  3. Step 3: Cross multiply
    19,735,424x = 30,373,824 × 30,373,824
  4. Step 4: Simplify right side
    19,735,424x = 922,569,184,382,976
  5. Step 5: Solve for x
    x = 922,569,184,382,976/19,735,424
  6. Step 6: Final answer
    x = 46,746,864.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.