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Finding the Third Proportional to 9,445,862,763 and 21,867,751,291.50

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Solution

The third proportional to 9,445,862,763 and 21,867,751,291.50 is: 50,625,184,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445,862,763 : 21,867,751,291.50 = 21,867,751,291.50 : x
  2. Step 2: Convert to fraction form
    9,445,862,763/21,867,751,291.50 = 21,867,751,291.50/x
  3. Step 3: Cross multiply
    9,445,862,763x = 21,867,751,291.50 × 21,867,751,291.50
  4. Step 4: Simplify right side
    9,445,862,763x = 478,198,546,546,899,943,424
  5. Step 5: Solve for x
    x = 478,198,546,546,899,943,424/9,445,862,763
  6. Step 6: Final answer
    x = 50,625,184,649.10

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.