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Finding the Third Proportional to 4,809,479,824 and 10,597,283,476

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Solution

The third proportional to 4,809,479,824 and 10,597,283,476 is: 23,350,221,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809,479,824 : 10,597,283,476 = 10,597,283,476 : x
  2. Step 2: Convert to fraction form
    4,809,479,824/10,597,283,476 = 10,597,283,476/x
  3. Step 3: Cross multiply
    4,809,479,824x = 10,597,283,476 × 10,597,283,476
  4. Step 4: Simplify right side
    4,809,479,824x = 112,302,417,070,702,641,152
  5. Step 5: Solve for x
    x = 112,302,417,070,702,641,152/4,809,479,824
  6. Step 6: Final answer
    x = 23,350,221,059.31

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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.