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Finding the Third Proportional to 933,048,076 and 2,004,565,034

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Solution

The third proportional to 933,048,076 and 2,004,565,034 is: 4,306,617,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,048,076 : 2,004,565,034 = 2,004,565,034 : x
  2. Step 2: Convert to fraction form
    933,048,076/2,004,565,034 = 2,004,565,034/x
  3. Step 3: Cross multiply
    933,048,076x = 2,004,565,034 × 2,004,565,034
  4. Step 4: Simplify right side
    933,048,076x = 4,018,280,975,535,420,928
  5. Step 5: Solve for x
    x = 4,018,280,975,535,420,928/933,048,076
  6. Step 6: Final answer
    x = 4,306,617,288.96

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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.