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Finding the Third Proportional to 1,281,682,700 and 2,631,310,712

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Solution

The third proportional to 1,281,682,700 and 2,631,310,712 is: 5,402,114,004.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281,682,700 : 2,631,310,712 = 2,631,310,712 : x
  2. Step 2: Convert to fraction form
    1,281,682,700/2,631,310,712 = 2,631,310,712/x
  3. Step 3: Cross multiply
    1,281,682,700x = 2,631,310,712 × 2,631,310,712
  4. Step 4: Simplify right side
    1,281,682,700x = 6,923,796,063,085,946,880
  5. Step 5: Solve for x
    x = 6,923,796,063,085,946,880/1,281,682,700
  6. Step 6: Final answer
    x = 5,402,114,004.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.