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Finding the Third Proportional to 870,622,733,757.60 and 1,894,100,833,136.90

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Solution

The third proportional to 870,622,733,757.60 and 1,894,100,833,136.90 is: 4,120,749,237,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,622,733,757.60 : 1,894,100,833,136.90 = 1,894,100,833,136.90 : x
  2. Step 2: Convert to fraction form
    870,622,733,757.60/1,894,100,833,136.90 = 1,894,100,833,136.90/x
  3. Step 3: Cross multiply
    870,622,733,757.60x = 1,894,100,833,136.90 × 1,894,100,833,136.90
  4. Step 4: Simplify right side
    870,622,733,757.60x = 3,587,617,966,089,898,213,507,072
  5. Step 5: Solve for x
    x = 3,587,617,966,089,898,213,507,072/870,622,733,757.60
  6. Step 6: Final answer
    x = 4,120,749,237,279.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.