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Finding the Third Proportional to 6,369,862,979 and 9,554,795,468

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Solution

The third proportional to 6,369,862,979 and 9,554,795,468 is: 14,332,194,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369,862,979 : 9,554,795,468 = 9,554,795,468 : x
  2. Step 2: Convert to fraction form
    6,369,862,979/9,554,795,468 = 9,554,795,468/x
  3. Step 3: Cross multiply
    6,369,862,979x = 9,554,795,468 × 9,554,795,468
  4. Step 4: Simplify right side
    6,369,862,979x = 91,294,116,435,313,344,512
  5. Step 5: Solve for x
    x = 91,294,116,435,313,344,512/6,369,862,979
  6. Step 6: Final answer
    x = 14,332,194,701.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.