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Finding the Third Proportional to 30,357,431 and 46,632,727

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Solution

The third proportional to 30,357,431 and 46,632,727 is: 71,633,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,357,431 : 46,632,727 = 46,632,727 : x
  2. Step 2: Convert to fraction form
    30,357,431/46,632,727 = 46,632,727/x
  3. Step 3: Cross multiply
    30,357,431x = 46,632,727 × 46,632,727
  4. Step 4: Simplify right side
    30,357,431x = 2,174,611,227,456,529
  5. Step 5: Solve for x
    x = 2,174,611,227,456,529/30,357,431
  6. Step 6: Final answer
    x = 71,633,572.27

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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.