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Finding the Third Proportional to 441,586,386,690 and 960,543,277,854

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Solution

The third proportional to 441,586,386,690 and 960,543,277,854 is: 2,089,383,677,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,586,386,690 : 960,543,277,854 = 960,543,277,854 : x
  2. Step 2: Convert to fraction form
    441,586,386,690/960,543,277,854 = 960,543,277,854/x
  3. Step 3: Cross multiply
    441,586,386,690x = 960,543,277,854 × 960,543,277,854
  4. Step 4: Simplify right side
    441,586,386,690x = 922,643,388,630,506,680,614,912
  5. Step 5: Solve for x
    x = 922,643,388,630,506,680,614,912/441,586,386,690
  6. Step 6: Final answer
    x = 2,089,383,677,668.07

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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.