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Finding the Third Proportional to 7,975,879,314 and 17,452,775,472

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Solution

The third proportional to 7,975,879,314 and 17,452,775,472 is: 38,190,067,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,879,314 : 17,452,775,472 = 17,452,775,472 : x
  2. Step 2: Convert to fraction form
    7,975,879,314/17,452,775,472 = 17,452,775,472/x
  3. Step 3: Cross multiply
    7,975,879,314x = 17,452,775,472 × 17,452,775,472
  4. Step 4: Simplify right side
    7,975,879,314x = 304,599,371,676,044,820,480
  5. Step 5: Solve for x
    x = 304,599,371,676,044,820,480/7,975,879,314
  6. Step 6: Final answer
    x = 38,190,067,788.69

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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.