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Finding the Third Proportional to 447,617,769 and 963,260,005.50

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Solution

The third proportional to 447,617,769 and 963,260,005.50 is: 2,072,906,623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,617,769 : 963,260,005.50 = 963,260,005.50 : x
  2. Step 2: Convert to fraction form
    447,617,769/963,260,005.50 = 963,260,005.50/x
  3. Step 3: Cross multiply
    447,617,769x = 963,260,005.50 × 963,260,005.50
  4. Step 4: Simplify right side
    447,617,769x = 927,869,838,195,859,968
  5. Step 5: Solve for x
    x = 927,869,838,195,859,968/447,617,769
  6. Step 6: Final answer
    x = 2,072,906,623.59

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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.