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Finding the Third Proportional to 808,670,064 and 1,746,458,016

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Solution

The third proportional to 808,670,064 and 1,746,458,016 is: 3,771,767,668.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,670,064 : 1,746,458,016 = 1,746,458,016 : x
  2. Step 2: Convert to fraction form
    808,670,064/1,746,458,016 = 1,746,458,016/x
  3. Step 3: Cross multiply
    808,670,064x = 1,746,458,016 × 1,746,458,016
  4. Step 4: Simplify right side
    808,670,064x = 3,050,115,601,650,656,256
  5. Step 5: Solve for x
    x = 3,050,115,601,650,656,256/808,670,064
  6. Step 6: Final answer
    x = 3,771,767,668.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.