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Finding the Third Proportional to 855,440,218,276 and 1,812,868,880,281

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Solution

The third proportional to 855,440,218,276 and 1,812,868,880,281 is: 3,841,874,051,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,440,218,276 : 1,812,868,880,281 = 1,812,868,880,281 : x
  2. Step 2: Convert to fraction form
    855,440,218,276/1,812,868,880,281 = 1,812,868,880,281/x
  3. Step 3: Cross multiply
    855,440,218,276x = 1,812,868,880,281 × 1,812,868,880,281
  4. Step 4: Simplify right side
    855,440,218,276x = 3,286,493,577,091,286,967,517,184
  5. Step 5: Solve for x
    x = 3,286,493,577,091,286,967,517,184/855,440,218,276
  6. Step 6: Final answer
    x = 3,841,874,051,368.17

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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.