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Finding the Third Proportional to 2,339,723,554,842 and 5,094,817,074,854

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Solution

The third proportional to 2,339,723,554,842 and 5,094,817,074,854 is: 11,094,114,504,470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339,723,554,842 : 5,094,817,074,854 = 5,094,817,074,854 : x
  2. Step 2: Convert to fraction form
    2,339,723,554,842/5,094,817,074,854 = 5,094,817,074,854/x
  3. Step 3: Cross multiply
    2,339,723,554,842x = 5,094,817,074,854 × 5,094,817,074,854
  4. Step 4: Simplify right side
    2,339,723,554,842x = 25,957,161,026,223,871,023,382,528
  5. Step 5: Solve for x
    x = 25,957,161,026,223,871,023,382,528/2,339,723,554,842
  6. Step 6: Final answer
    x = 11,094,114,504,470.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.