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Finding the Third Proportional to 10,946,268,942 and 23,898,993,312

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Solution

The third proportional to 10,946,268,942 and 23,898,993,312 is: 52,178,681,553.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946,268,942 : 23,898,993,312 = 23,898,993,312 : x
  2. Step 2: Convert to fraction form
    10,946,268,942/23,898,993,312 = 23,898,993,312/x
  3. Step 3: Cross multiply
    10,946,268,942x = 23,898,993,312 × 23,898,993,312
  4. Step 4: Simplify right side
    10,946,268,942x = 571,161,881,327,020,736,512
  5. Step 5: Solve for x
    x = 571,161,881,327,020,736,512/10,946,268,942
  6. Step 6: Final answer
    x = 52,178,681,553.81

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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.