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Finding the Third Proportional to 9,357,856,770 and 20,807,996,757

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Solution

The third proportional to 9,357,856,770 and 20,807,996,757 is: 46,268,364,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357,856,770 : 20,807,996,757 = 20,807,996,757 : x
  2. Step 2: Convert to fraction form
    9,357,856,770/20,807,996,757 = 20,807,996,757/x
  3. Step 3: Cross multiply
    9,357,856,770x = 20,807,996,757 × 20,807,996,757
  4. Step 4: Simplify right side
    9,357,856,770x = 432,972,729,039,322,546,176
  5. Step 5: Solve for x
    x = 432,972,729,039,322,546,176/9,357,856,770
  6. Step 6: Final answer
    x = 46,268,364,613.93

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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.