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Finding the Third Proportional to 1,601,416,344 and 3,448,554,288

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Solution

The third proportional to 1,601,416,344 and 3,448,554,288 is: 7,426,255,340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601,416,344 : 3,448,554,288 = 3,448,554,288 : x
  2. Step 2: Convert to fraction form
    1,601,416,344/3,448,554,288 = 3,448,554,288/x
  3. Step 3: Cross multiply
    1,601,416,344x = 3,448,554,288 × 3,448,554,288
  4. Step 4: Simplify right side
    1,601,416,344x = 11,892,526,677,283,186,688
  5. Step 5: Solve for x
    x = 11,892,526,677,283,186,688/1,601,416,344
  6. Step 6: Final answer
    x = 7,426,255,340.68

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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.