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Finding the Third Proportional to 4,420,206,308,268 and 9,618,756,188,412

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Solution

The third proportional to 4,420,206,308,268 and 9,618,756,188,412 is: 20,931,256,181,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,420,206,308,268 : 9,618,756,188,412 = 9,618,756,188,412 : x
  2. Step 2: Convert to fraction form
    4,420,206,308,268/9,618,756,188,412 = 9,618,756,188,412/x
  3. Step 3: Cross multiply
    4,420,206,308,268x = 9,618,756,188,412 × 9,618,756,188,412
  4. Step 4: Simplify right side
    4,420,206,308,268x = 92,520,470,612,114,154,641,686,528
  5. Step 5: Solve for x
    x = 92,520,470,612,114,154,641,686,528/4,420,206,308,268
  6. Step 6: Final answer
    x = 20,931,256,181,200.08

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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.