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Finding the Third Proportional to 933,062,182.13 and 2,004,593,312.25

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Solution

The third proportional to 933,062,182.13 and 2,004,593,312.25 is: 4,306,673,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    933,062,182.13 : 2,004,593,312.25 = 2,004,593,312.25 : x
  2. Step 2: Convert to fraction form
    933,062,182.13/2,004,593,312.25 = 2,004,593,312.25/x
  3. Step 3: Cross multiply
    933,062,182.13x = 2,004,593,312.25 × 2,004,593,312.25
  4. Step 4: Simplify right side
    933,062,182.13x = 4,018,394,347,517,426,176
  5. Step 5: Solve for x
    x = 4,018,394,347,517,426,176/933,062,182.13
  6. Step 6: Final answer
    x = 4,306,673,686.38

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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.