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Finding the Third Proportional to 19,835,210 and 30,650,455

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Solution

The third proportional to 19,835,210 and 30,650,455 is: 47,362,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,835,210 : 30,650,455 = 30,650,455 : x
  2. Step 2: Convert to fraction form
    19,835,210/30,650,455 = 30,650,455/x
  3. Step 3: Cross multiply
    19,835,210x = 30,650,455 × 30,650,455
  4. Step 4: Simplify right side
    19,835,210x = 939,450,391,707,025
  5. Step 5: Solve for x
    x = 939,450,391,707,025/19,835,210
  6. Step 6: Final answer
    x = 47,362,765.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.