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Finding the Third Proportional to 444,749,382,064 and 626,305,134,827

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Solution

The third proportional to 444,749,382,064 and 626,305,134,827 is: 881,975,642,305.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,749,382,064 : 626,305,134,827 = 626,305,134,827 : x
  2. Step 2: Convert to fraction form
    444,749,382,064/626,305,134,827 = 626,305,134,827/x
  3. Step 3: Cross multiply
    444,749,382,064x = 626,305,134,827 × 626,305,134,827
  4. Step 4: Simplify right side
    444,749,382,064x = 392,258,121,910,666,653,597,696
  5. Step 5: Solve for x
    x = 392,258,121,910,666,653,597,696/444,749,382,064
  6. Step 6: Final answer
    x = 881,975,642,305.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.