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Finding the Third Proportional to 3,220,556,164 and 7,044,093,176

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Solution

The third proportional to 3,220,556,164 and 7,044,093,176 is: 15,407,043,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,556,164 : 7,044,093,176 = 7,044,093,176 : x
  2. Step 2: Convert to fraction form
    3,220,556,164/7,044,093,176 = 7,044,093,176/x
  3. Step 3: Cross multiply
    3,220,556,164x = 7,044,093,176 × 7,044,093,176
  4. Step 4: Simplify right side
    3,220,556,164x = 49,619,248,672,169,771,008
  5. Step 5: Solve for x
    x = 49,619,248,672,169,771,008/3,220,556,164
  6. Step 6: Final answer
    x = 15,407,043,425.24

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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.