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Finding the Third Proportional to 211,928,715,636 and 325,749,630,454

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Solution

The third proportional to 211,928,715,636 and 325,749,630,454 is: 500,700,537,076.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,928,715,636 : 325,749,630,454 = 325,749,630,454 : x
  2. Step 2: Convert to fraction form
    211,928,715,636/325,749,630,454 = 325,749,630,454/x
  3. Step 3: Cross multiply
    211,928,715,636x = 325,749,630,454 × 325,749,630,454
  4. Step 4: Simplify right side
    211,928,715,636x = 106,112,821,740,917,567,258,624
  5. Step 5: Solve for x
    x = 106,112,821,740,917,567,258,624/211,928,715,636
  6. Step 6: Final answer
    x = 500,700,537,076.69

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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.