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Finding the Third Proportional to 8,477,843,084,604 and 18,490,086,545,324

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Solution

The third proportional to 8,477,843,084,604 and 18,490,086,545,324 is: 40,326,684,162,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,477,843,084,604 : 18,490,086,545,324 = 18,490,086,545,324 : x
  2. Step 2: Convert to fraction form
    8,477,843,084,604/18,490,086,545,324 = 18,490,086,545,324/x
  3. Step 3: Cross multiply
    8,477,843,084,604x = 18,490,086,545,324 × 18,490,086,545,324
  4. Step 4: Simplify right side
    8,477,843,084,604x = 341,883,300,453,571,642,643,185,664
  5. Step 5: Solve for x
    x = 341,883,300,453,571,642,643,185,664/8,477,843,084,604
  6. Step 6: Final answer
    x = 40,326,684,162,678.27

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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.