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Finding the Third Proportional to 4,430,597,504 and 9,454,216,960

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Solution

The third proportional to 4,430,597,504 and 9,454,216,960 is: 20,173,852,002.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430,597,504 : 9,454,216,960 = 9,454,216,960 : x
  2. Step 2: Convert to fraction form
    4,430,597,504/9,454,216,960 = 9,454,216,960/x
  3. Step 3: Cross multiply
    4,430,597,504x = 9,454,216,960 × 9,454,216,960
  4. Step 4: Simplify right side
    4,430,597,504x = 89,382,218,326,751,641,600
  5. Step 5: Solve for x
    x = 89,382,218,326,751,641,600/4,430,597,504
  6. Step 6: Final answer
    x = 20,173,852,002.14

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.