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Finding the Third Proportional to 47,931,945,850 and 104,206,943,408

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Solution

The third proportional to 47,931,945,850 and 104,206,943,408 is: 226,552,184,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931,945,850 : 104,206,943,408 = 104,206,943,408 : x
  2. Step 2: Convert to fraction form
    47,931,945,850/104,206,943,408 = 104,206,943,408/x
  3. Step 3: Cross multiply
    47,931,945,850x = 104,206,943,408 × 104,206,943,408
  4. Step 4: Simplify right side
    47,931,945,850x = 10,859,087,054,438,114,787,328
  5. Step 5: Solve for x
    x = 10,859,087,054,438,114,787,328/47,931,945,850
  6. Step 6: Final answer
    x = 226,552,184,808.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.