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Finding the Third Proportional to 9,468,286,948 and 20,584,579,848

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Solution

The third proportional to 9,468,286,948 and 20,584,579,848 is: 44,752,015,844.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468,286,948 : 20,584,579,848 = 20,584,579,848 : x
  2. Step 2: Convert to fraction form
    9,468,286,948/20,584,579,848 = 20,584,579,848/x
  3. Step 3: Cross multiply
    9,468,286,948x = 20,584,579,848 × 20,584,579,848
  4. Step 4: Simplify right side
    9,468,286,948x = 423,724,927,518,687,690,752
  5. Step 5: Solve for x
    x = 423,724,927,518,687,690,752/9,468,286,948
  6. Step 6: Final answer
    x = 44,752,015,844.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.