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Finding the Third Proportional to 9,646,014,409 and 20,084,734,415

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Solution

The third proportional to 9,646,014,409 and 20,084,734,415 is: 41,820,024,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,014,409 : 20,084,734,415 = 20,084,734,415 : x
  2. Step 2: Convert to fraction form
    9,646,014,409/20,084,734,415 = 20,084,734,415/x
  3. Step 3: Cross multiply
    9,646,014,409x = 20,084,734,415 × 20,084,734,415
  4. Step 4: Simplify right side
    9,646,014,409x = 403,396,556,521,085,403,136
  5. Step 5: Solve for x
    x = 403,396,556,521,085,403,136/9,646,014,409
  6. Step 6: Final answer
    x = 41,820,024,252.16

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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.