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Finding the Third Proportional to 23,634,612,544 and 51,191,268,416

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Solution

The third proportional to 23,634,612,544 and 51,191,268,416 is: 110,877,466,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634,612,544 : 51,191,268,416 = 51,191,268,416 : x
  2. Step 2: Convert to fraction form
    23,634,612,544/51,191,268,416 = 51,191,268,416/x
  3. Step 3: Cross multiply
    23,634,612,544x = 51,191,268,416 × 51,191,268,416
  4. Step 4: Simplify right side
    23,634,612,544x = 2,620,545,962,038,959,013,888
  5. Step 5: Solve for x
    x = 2,620,545,962,038,959,013,888/23,634,612,544
  6. Step 6: Final answer
    x = 110,877,466,561.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.