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Finding the Third Proportional to 4,223,386,274 and 5,751,531,222

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Solution

The third proportional to 4,223,386,274 and 5,751,531,222 is: 7,832,603,804.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223,386,274 : 5,751,531,222 = 5,751,531,222 : x
  2. Step 2: Convert to fraction form
    4,223,386,274/5,751,531,222 = 5,751,531,222/x
  3. Step 3: Cross multiply
    4,223,386,274x = 5,751,531,222 × 5,751,531,222
  4. Step 4: Simplify right side
    4,223,386,274x = 33,080,111,397,640,814,592
  5. Step 5: Solve for x
    x = 33,080,111,397,640,814,592/4,223,386,274
  6. Step 6: Final answer
    x = 7,832,603,804.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.