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Finding the Third Proportional to 9,554,794,471 and 14,332,193,205

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Solution

The third proportional to 9,554,794,471 and 14,332,193,205 is: 21,498,292,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554,794,471 : 14,332,193,205 = 14,332,193,205 : x
  2. Step 2: Convert to fraction form
    9,554,794,471/14,332,193,205 = 14,332,193,205/x
  3. Step 3: Cross multiply
    9,554,794,471x = 14,332,193,205 × 14,332,193,205
  4. Step 4: Simplify right side
    9,554,794,471x = 205,411,762,065,448,173,568
  5. Step 5: Solve for x
    x = 205,411,762,065,448,173,568/9,554,794,471
  6. Step 6: Final answer
    x = 21,498,292,055.25

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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.