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Finding the Third Proportional to 441,586,386,692 and 960,543,277,858

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Solution

The third proportional to 441,586,386,692 and 960,543,277,858 is: 2,089,383,677,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,586,386,692 : 960,543,277,858 = 960,543,277,858 : x
  2. Step 2: Convert to fraction form
    441,586,386,692/960,543,277,858 = 960,543,277,858/x
  3. Step 3: Cross multiply
    441,586,386,692x = 960,543,277,858 × 960,543,277,858
  4. Step 4: Simplify right side
    441,586,386,692x = 922,643,388,638,191,048,196,096
  5. Step 5: Solve for x
    x = 922,643,388,638,191,048,196,096/441,586,386,692
  6. Step 6: Final answer
    x = 2,089,383,677,676.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.