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Finding the Third Proportional to 447,617,907 and 963,260,282.25

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Solution

The third proportional to 447,617,907 and 963,260,282.25 is: 2,072,907,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,907 : 963,260,282.25 = 963,260,282.25 : x
  2. Step 2: Convert to fraction form
    447,617,907/963,260,282.25 = 963,260,282.25/x
  3. Step 3: Cross multiply
    447,617,907x = 963,260,282.25 × 963,260,282.25
  4. Step 4: Simplify right side
    447,617,907x = 927,870,371,360,349,696
  5. Step 5: Solve for x
    x = 927,870,371,360,349,696/447,617,907
  6. Step 6: Final answer
    x = 2,072,907,175.63

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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.