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Finding the Third Proportional to 2,270,962,233,803 and 4,886,357,825,048

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Solution

The third proportional to 2,270,962,233,803 and 4,886,357,825,048 is: 10,513,822,043,805.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270,962,233,803 : 4,886,357,825,048 = 4,886,357,825,048 : x
  2. Step 2: Convert to fraction form
    2,270,962,233,803/4,886,357,825,048 = 4,886,357,825,048/x
  3. Step 3: Cross multiply
    2,270,962,233,803x = 4,886,357,825,048 × 4,886,357,825,048
  4. Step 4: Simplify right side
    2,270,962,233,803x = 23,876,492,794,407,819,923,161,088
  5. Step 5: Solve for x
    x = 23,876,492,794,407,819,923,161,088/2,270,962,233,803
  6. Step 6: Final answer
    x = 10,513,822,043,805.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.