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Finding the Third Proportional to 9,277,742 and 19,191,901

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Solution

The third proportional to 9,277,742 and 19,191,901 is: 39,700,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277,742 : 19,191,901 = 19,191,901 : x
  2. Step 2: Convert to fraction form
    9,277,742/19,191,901 = 19,191,901/x
  3. Step 3: Cross multiply
    9,277,742x = 19,191,901 × 19,191,901
  4. Step 4: Simplify right side
    9,277,742x = 368,329,063,993,801
  5. Step 5: Solve for x
    x = 368,329,063,993,801/9,277,742
  6. Step 6: Final answer
    x = 39,700,291.73

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.