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Finding the Third Proportional to 1,300,523,436 and 1,981,274,556

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Solution

The third proportional to 1,300,523,436 and 1,981,274,556 is: 3,018,360,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,523,436 : 1,981,274,556 = 1,981,274,556 : x
  2. Step 2: Convert to fraction form
    1,300,523,436/1,981,274,556 = 1,981,274,556/x
  3. Step 3: Cross multiply
    1,300,523,436x = 1,981,274,556 × 1,981,274,556
  4. Step 4: Simplify right side
    1,300,523,436x = 3,925,448,866,252,997,120
  5. Step 5: Solve for x
    x = 3,925,448,866,252,997,120/1,300,523,436
  6. Step 6: Final answer
    x = 3,018,360,728.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.