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Finding the Third Proportional to 2,180,209,871 and 4,782,513,064

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Solution

The third proportional to 2,180,209,871 and 4,782,513,064 is: 10,490,930,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,209,871 : 4,782,513,064 = 4,782,513,064 : x
  2. Step 2: Convert to fraction form
    2,180,209,871/4,782,513,064 = 4,782,513,064/x
  3. Step 3: Cross multiply
    2,180,209,871x = 4,782,513,064 × 4,782,513,064
  4. Step 4: Simplify right side
    2,180,209,871x = 22,872,431,207,330,668,544
  5. Step 5: Solve for x
    x = 22,872,431,207,330,668,544/2,180,209,871
  6. Step 6: Final answer
    x = 10,490,930,947.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.