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Finding the Third Proportional to 9,357,856,768 and 20,807,996,753

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Solution

The third proportional to 9,357,856,768 and 20,807,996,753 is: 46,268,364,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,768 : 20,807,996,753 = 20,807,996,753 : x
  2. Step 2: Convert to fraction form
    9,357,856,768/20,807,996,753 = 20,807,996,753/x
  3. Step 3: Cross multiply
    9,357,856,768x = 20,807,996,753 × 20,807,996,753
  4. Step 4: Simplify right side
    9,357,856,768x = 432,972,728,872,858,550,272
  5. Step 5: Solve for x
    x = 432,972,728,872,858,550,272/9,357,856,768
  6. Step 6: Final answer
    x = 46,268,364,606.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.