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Finding the Third Proportional to 35,594,629,800 and 48,473,810,206

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Solution

The third proportional to 35,594,629,800 and 48,473,810,206 is: 66,013,055,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,594,629,800 : 48,473,810,206 = 48,473,810,206 : x
  2. Step 2: Convert to fraction form
    35,594,629,800/48,473,810,206 = 48,473,810,206/x
  3. Step 3: Cross multiply
    35,594,629,800x = 48,473,810,206 × 48,473,810,206
  4. Step 4: Simplify right side
    35,594,629,800x = 2,349,710,275,887,309,783,040
  5. Step 5: Solve for x
    x = 2,349,710,275,887,309,783,040/35,594,629,800
  6. Step 6: Final answer
    x = 66,013,055,595.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.