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Finding the Third Proportional to 9,004,451,360 and 19,840,829,824

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Solution

The third proportional to 9,004,451,360 and 19,840,829,824 is: 43,718,213,621.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004,451,360 : 19,840,829,824 = 19,840,829,824 : x
  2. Step 2: Convert to fraction form
    9,004,451,360/19,840,829,824 = 19,840,829,824/x
  3. Step 3: Cross multiply
    9,004,451,360x = 19,840,829,824 × 19,840,829,824
  4. Step 4: Simplify right side
    9,004,451,360x = 393,658,528,104,927,854,592
  5. Step 5: Solve for x
    x = 393,658,528,104,927,854,592/9,004,451,360
  6. Step 6: Final answer
    x = 43,718,213,621.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.