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Finding the Third Proportional to 14,797,797,948 and 21,380,261,796

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Solution

The third proportional to 14,797,797,948 and 21,380,261,796 is: 30,890,784,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797,797,948 : 21,380,261,796 = 21,380,261,796 : x
  2. Step 2: Convert to fraction form
    14,797,797,948/21,380,261,796 = 21,380,261,796/x
  3. Step 3: Cross multiply
    14,797,797,948x = 21,380,261,796 × 21,380,261,796
  4. Step 4: Simplify right side
    14,797,797,948x = 457,115,594,465,497,120,768
  5. Step 5: Solve for x
    x = 457,115,594,465,497,120,768/14,797,797,948
  6. Step 6: Final answer
    x = 30,890,784,971.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.