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Finding the Third Proportional to 849,473,199,648 and 1,820,112,031,296

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Solution

The third proportional to 849,473,199,648 and 1,820,112,031,296 is: 3,899,837,932,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,473,199,648 : 1,820,112,031,296 = 1,820,112,031,296 : x
  2. Step 2: Convert to fraction form
    849,473,199,648/1,820,112,031,296 = 1,820,112,031,296/x
  3. Step 3: Cross multiply
    849,473,199,648x = 1,820,112,031,296 × 1,820,112,031,296
  4. Step 4: Simplify right side
    849,473,199,648x = 3,312,807,806,468,451,358,212,096
  5. Step 5: Solve for x
    x = 3,312,807,806,468,451,358,212,096/849,473,199,648
  6. Step 6: Final answer
    x = 3,899,837,932,310.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.