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Finding the Third Proportional to 933,048,072 and 2,004,565,026.38

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Solution

The third proportional to 933,048,072 and 2,004,565,026.38 is: 4,306,617,274.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,048,072 : 2,004,565,026.38 = 2,004,565,026.38 : x
  2. Step 2: Convert to fraction form
    933,048,072/2,004,565,026.38 = 2,004,565,026.38/x
  3. Step 3: Cross multiply
    933,048,072x = 2,004,565,026.38 × 2,004,565,026.38
  4. Step 4: Simplify right side
    933,048,072x = 4,018,280,944,965,804,544
  5. Step 5: Solve for x
    x = 4,018,280,944,965,804,544/933,048,072
  6. Step 6: Final answer
    x = 4,306,617,274.66

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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.