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Finding the Third Proportional to 1,601,416,350 and 3,448,554,300

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Solution

The third proportional to 1,601,416,350 and 3,448,554,300 is: 7,426,255,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,416,350 : 3,448,554,300 = 3,448,554,300 : x
  2. Step 2: Convert to fraction form
    1,601,416,350/3,448,554,300 = 3,448,554,300/x
  3. Step 3: Cross multiply
    1,601,416,350x = 3,448,554,300 × 3,448,554,300
  4. Step 4: Simplify right side
    1,601,416,350x = 11,892,526,760,048,490,496
  5. Step 5: Solve for x
    x = 11,892,526,760,048,490,496/1,601,416,350
  6. Step 6: Final answer
    x = 7,426,255,364.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.