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Finding the Third Proportional to 855,440,218,282 and 1,812,868,880,296

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Solution

The third proportional to 855,440,218,282 and 1,812,868,880,296 is: 3,841,874,051,404.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,440,218,282 : 1,812,868,880,296 = 1,812,868,880,296 : x
  2. Step 2: Convert to fraction form
    855,440,218,282/1,812,868,880,296 = 1,812,868,880,296/x
  3. Step 3: Cross multiply
    855,440,218,282x = 1,812,868,880,296 × 1,812,868,880,296
  4. Step 4: Simplify right side
    855,440,218,282x = 3,286,493,577,145,672,527,773,696
  5. Step 5: Solve for x
    x = 3,286,493,577,145,672,527,773,696/855,440,218,282
  6. Step 6: Final answer
    x = 3,841,874,051,404.80

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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.