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Finding the Third Proportional to 8,506,503,254,660 and 18,303,174,805,640

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Solution

The third proportional to 8,506,503,254,660 and 18,303,174,805,640 is: 39,382,364,049,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506,503,254,660 : 18,303,174,805,640 = 18,303,174,805,640 : x
  2. Step 2: Convert to fraction form
    8,506,503,254,660/18,303,174,805,640 = 18,303,174,805,640/x
  3. Step 3: Cross multiply
    8,506,503,254,660x = 18,303,174,805,640 × 18,303,174,805,640
  4. Step 4: Simplify right side
    8,506,503,254,660x = 335,006,207,965,814,873,930,072,064
  5. Step 5: Solve for x
    x = 335,006,207,965,814,873,930,072,064/8,506,503,254,660
  6. Step 6: Final answer
    x = 39,382,364,049,798.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.