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Finding the Third Proportional to 4,088,596,743,831 and 8,830,002,928,086

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Solution

The third proportional to 4,088,596,743,831 and 8,830,002,928,086 is: 19,069,856,137,719.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088,596,743,831 : 8,830,002,928,086 = 8,830,002,928,086 : x
  2. Step 2: Convert to fraction form
    4,088,596,743,831/8,830,002,928,086 = 8,830,002,928,086/x
  3. Step 3: Cross multiply
    4,088,596,743,831x = 8,830,002,928,086 × 8,830,002,928,086
  4. Step 4: Simplify right side
    4,088,596,743,831x = 77,968,951,710,007,339,880,808,448
  5. Step 5: Solve for x
    x = 77,968,951,710,007,339,880,808,448/4,088,596,743,831
  6. Step 6: Final answer
    x = 19,069,856,137,719.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.