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Finding the Third Proportional to 128,719,431,946 and 277,111,200,020

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Solution

The third proportional to 128,719,431,946 and 277,111,200,020 is: 596,573,617,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,719,431,946 : 277,111,200,020 = 277,111,200,020 : x
  2. Step 2: Convert to fraction form
    128,719,431,946/277,111,200,020 = 277,111,200,020/x
  3. Step 3: Cross multiply
    128,719,431,946x = 277,111,200,020 × 277,111,200,020
  4. Step 4: Simplify right side
    128,719,431,946x = 76,790,617,176,524,455,936,000
  5. Step 5: Solve for x
    x = 76,790,617,176,524,455,936,000/128,719,431,946
  6. Step 6: Final answer
    x = 596,573,617,639.48

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