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Finding the Third Proportional to 7,975,879,312 and 17,452,775,468

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Solution

The third proportional to 7,975,879,312 and 17,452,775,468 is: 38,190,067,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,879,312 : 17,452,775,468 = 17,452,775,468 : x
  2. Step 2: Convert to fraction form
    7,975,879,312/17,452,775,468 = 17,452,775,468/x
  3. Step 3: Cross multiply
    7,975,879,312x = 17,452,775,468 × 17,452,775,468
  4. Step 4: Simplify right side
    7,975,879,312x = 304,599,371,536,422,600,704
  5. Step 5: Solve for x
    x = 304,599,371,536,422,600,704/7,975,879,312
  6. Step 6: Final answer
    x = 38,190,067,780.76

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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.