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Finding the Third Proportional to 933,047,856.75 and 2,004,564,618.38

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Solution

The third proportional to 933,047,856.75 and 2,004,564,618.38 is: 4,306,616,515.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,047,856.75 : 2,004,564,618.38 = 2,004,564,618.38 : x
  2. Step 2: Convert to fraction form
    933,047,856.75/2,004,564,618.38 = 2,004,564,618.38/x
  3. Step 3: Cross multiply
    933,047,856.75x = 2,004,564,618.38 × 2,004,564,618.38
  4. Step 4: Simplify right side
    933,047,856.75x = 4,018,279,309,240,909,312
  5. Step 5: Solve for x
    x = 4,018,279,309,240,909,312/933,047,856.75
  6. Step 6: Final answer
    x = 4,306,616,515.08

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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.