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Finding the Third Proportional to 1,110,277,701 and 2,438,452,746

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Solution

The third proportional to 1,110,277,701 and 2,438,452,746 is: 5,355,463,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110,277,701 : 2,438,452,746 = 2,438,452,746 : x
  2. Step 2: Convert to fraction form
    1,110,277,701/2,438,452,746 = 2,438,452,746/x
  3. Step 3: Cross multiply
    1,110,277,701x = 2,438,452,746 × 2,438,452,746
  4. Step 4: Simplify right side
    1,110,277,701x = 5,946,051,794,474,940,416
  5. Step 5: Solve for x
    x = 5,946,051,794,474,940,416/1,110,277,701
  6. Step 6: Final answer
    x = 5,355,463,582.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.