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Finding the Third Proportional to 849,473,199,612 and 1,820,112,031,224

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Solution

The third proportional to 849,473,199,612 and 1,820,112,031,224 is: 3,899,837,932,167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    849,473,199,612 : 1,820,112,031,224 = 1,820,112,031,224 : x
  2. Step 2: Convert to fraction form
    849,473,199,612/1,820,112,031,224 = 1,820,112,031,224/x
  3. Step 3: Cross multiply
    849,473,199,612x = 1,820,112,031,224 × 1,820,112,031,224
  4. Step 4: Simplify right side
    849,473,199,612x = 3,312,807,806,206,355,273,940,992
  5. Step 5: Solve for x
    x = 3,312,807,806,206,355,273,940,992/849,473,199,612
  6. Step 6: Final answer
    x = 3,899,837,932,167.24

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1.5x scale

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.