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Finding the Third Proportional to 30,237,974 and 46,693,947

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Solution

The third proportional to 30,237,974 and 46,693,947 is: 72,105,514.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,237,974 : 46,693,947 = 46,693,947 : x
  2. Step 2: Convert to fraction form
    30,237,974/46,693,947 = 46,693,947/x
  3. Step 3: Cross multiply
    30,237,974x = 46,693,947 × 46,693,947
  4. Step 4: Simplify right side
    30,237,974x = 2,180,324,686,438,809
  5. Step 5: Solve for x
    x = 2,180,324,686,438,809/30,237,974
  6. Step 6: Final answer
    x = 72,105,514.95

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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.