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Finding the Third Proportional to 1,601,416,346 and 3,448,554,292

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Solution

The third proportional to 1,601,416,346 and 3,448,554,292 is: 7,426,255,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,416,346 : 3,448,554,292 = 3,448,554,292 : x
  2. Step 2: Convert to fraction form
    1,601,416,346/3,448,554,292 = 3,448,554,292/x
  3. Step 3: Cross multiply
    1,601,416,346x = 3,448,554,292 × 3,448,554,292
  4. Step 4: Simplify right side
    1,601,416,346x = 11,892,526,704,871,620,608
  5. Step 5: Solve for x
    x = 11,892,526,704,871,620,608/1,601,416,346
  6. Step 6: Final answer
    x = 7,426,255,348.63

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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.