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Finding the Third Proportional to 9,646,014,411 and 20,084,734,419

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Solution

The third proportional to 9,646,014,411 and 20,084,734,419 is: 41,820,024,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,014,411 : 20,084,734,419 = 20,084,734,419 : x
  2. Step 2: Convert to fraction form
    9,646,014,411/20,084,734,419 = 20,084,734,419/x
  3. Step 3: Cross multiply
    9,646,014,411x = 20,084,734,419 × 20,084,734,419
  4. Step 4: Simplify right side
    9,646,014,411x = 403,396,556,681,763,291,136
  5. Step 5: Solve for x
    x = 403,396,556,681,763,291,136/9,646,014,411
  6. Step 6: Final answer
    x = 41,820,024,260.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.