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Finding the Third Proportional to 22,430,498 and 49,012,568

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Solution

The third proportional to 22,430,498 and 49,012,568 is: 107,096,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430,498 : 49,012,568 = 49,012,568 : x
  2. Step 2: Convert to fraction form
    22,430,498/49,012,568 = 49,012,568/x
  3. Step 3: Cross multiply
    22,430,498x = 49,012,568 × 49,012,568
  4. Step 4: Simplify right side
    22,430,498x = 2,402,231,821,954,624
  5. Step 5: Solve for x
    x = 2,402,231,821,954,624/22,430,498
  6. Step 6: Final answer
    x = 107,096,678.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.