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Finding the Third Proportional to 60,917,900,990 and 133,603,716,556

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Solution

The third proportional to 60,917,900,990 and 133,603,716,556 is: 293,016,548,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,917,900,990 : 133,603,716,556 = 133,603,716,556 : x
  2. Step 2: Convert to fraction form
    60,917,900,990/133,603,716,556 = 133,603,716,556/x
  3. Step 3: Cross multiply
    60,917,900,990x = 133,603,716,556 × 133,603,716,556
  4. Step 4: Simplify right side
    60,917,900,990x = 17,849,953,077,575,989,329,920
  5. Step 5: Solve for x
    x = 17,849,953,077,575,989,329,920/60,917,900,990
  6. Step 6: Final answer
    x = 293,016,548,296.80

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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.