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Finding the Third Proportional to 447,688,908 and 963,402,268

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Solution

The third proportional to 447,688,908 and 963,402,268 is: 2,073,189,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,688,908 : 963,402,268 = 963,402,268 : x
  2. Step 2: Convert to fraction form
    447,688,908/963,402,268 = 963,402,268/x
  3. Step 3: Cross multiply
    447,688,908x = 963,402,268 × 963,402,268
  4. Step 4: Simplify right side
    447,688,908x = 928,143,929,987,543,808
  5. Step 5: Solve for x
    x = 928,143,929,987,543,808/447,688,908
  6. Step 6: Final answer
    x = 2,073,189,470.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.