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Finding the Third Proportional to 646,074,800 and 1,421,340,064

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Solution

The third proportional to 646,074,800 and 1,421,340,064 is: 3,126,894,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,074,800 : 1,421,340,064 = 1,421,340,064 : x
  2. Step 2: Convert to fraction form
    646,074,800/1,421,340,064 = 1,421,340,064/x
  3. Step 3: Cross multiply
    646,074,800x = 1,421,340,064 × 1,421,340,064
  4. Step 4: Simplify right side
    646,074,800x = 2,020,207,577,531,524,096
  5. Step 5: Solve for x
    x = 2,020,207,577,531,524,096/646,074,800
  6. Step 6: Final answer
    x = 3,126,894,250.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.