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Finding the Third Proportional to 2,180,209,842 and 4,782,513,004

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Solution

The third proportional to 2,180,209,842 and 4,782,513,004 is: 10,490,930,823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180,209,842 : 4,782,513,004 = 4,782,513,004 : x
  2. Step 2: Convert to fraction form
    2,180,209,842/4,782,513,004 = 4,782,513,004/x
  3. Step 3: Cross multiply
    2,180,209,842x = 4,782,513,004 × 4,782,513,004
  4. Step 4: Simplify right side
    2,180,209,842x = 22,872,430,633,429,102,592
  5. Step 5: Solve for x
    x = 22,872,430,633,429,102,592/2,180,209,842
  6. Step 6: Final answer
    x = 10,490,930,823.63

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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.