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Finding the Third Proportional to 128,719,431,948 and 277,111,200,024

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Solution

The third proportional to 128,719,431,948 and 277,111,200,024 is: 596,573,617,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,719,431,948 : 277,111,200,024 = 277,111,200,024 : x
  2. Step 2: Convert to fraction form
    128,719,431,948/277,111,200,024 = 277,111,200,024/x
  3. Step 3: Cross multiply
    128,719,431,948x = 277,111,200,024 × 277,111,200,024
  4. Step 4: Simplify right side
    128,719,431,948x = 76,790,617,178,741,330,149,376
  5. Step 5: Solve for x
    x = 76,790,617,178,741,330,149,376/128,719,431,948
  6. Step 6: Final answer
    x = 596,573,617,647.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.