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Finding the Third Proportional to 12,651,070,296 and 18,510,909,066

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Solution

The third proportional to 12,651,070,296 and 18,510,909,066 is: 27,084,961,701.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,651,070,296 : 18,510,909,066 = 18,510,909,066 : x
  2. Step 2: Convert to fraction form
    12,651,070,296/18,510,909,066 = 18,510,909,066/x
  3. Step 3: Cross multiply
    12,651,070,296x = 18,510,909,066 × 18,510,909,066
  4. Step 4: Simplify right side
    12,651,070,296x = 342,653,754,449,720,967,168
  5. Step 5: Solve for x
    x = 342,653,754,449,720,967,168/12,651,070,296
  6. Step 6: Final answer
    x = 27,084,961,701.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.