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Finding the Third Proportional to 855,440,218,274 and 1,812,868,880,277

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Solution

The third proportional to 855,440,218,274 and 1,812,868,880,277 is: 3,841,874,051,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,440,218,274 : 1,812,868,880,277 = 1,812,868,880,277 : x
  2. Step 2: Convert to fraction form
    855,440,218,274/1,812,868,880,277 = 1,812,868,880,277/x
  3. Step 3: Cross multiply
    855,440,218,274x = 1,812,868,880,277 × 1,812,868,880,277
  4. Step 4: Simplify right side
    855,440,218,274x = 3,286,493,577,076,783,936,700,416
  5. Step 5: Solve for x
    x = 3,286,493,577,076,783,936,700,416/855,440,218,274
  6. Step 6: Final answer
    x = 3,841,874,051,360.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.