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Finding the Third Proportional to 211,928,715,640 and 325,749,630,460

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Solution

The third proportional to 211,928,715,640 and 325,749,630,460 is: 500,700,537,085.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,928,715,640 : 325,749,630,460 = 325,749,630,460 : x
  2. Step 2: Convert to fraction form
    211,928,715,640/325,749,630,460 = 325,749,630,460/x
  3. Step 3: Cross multiply
    211,928,715,640x = 325,749,630,460 × 325,749,630,460
  4. Step 4: Simplify right side
    211,928,715,640x = 106,112,821,744,826,557,923,328
  5. Step 5: Solve for x
    x = 106,112,821,744,826,557,923,328/211,928,715,640
  6. Step 6: Final answer
    x = 500,700,537,085.68

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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.