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Finding the Third Proportional to 2,438,180,392 and 5,342,168,816

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Solution

The third proportional to 2,438,180,392 and 5,342,168,816 is: 11,704,945,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438,180,392 : 5,342,168,816 = 5,342,168,816 : x
  2. Step 2: Convert to fraction form
    2,438,180,392/5,342,168,816 = 5,342,168,816/x
  3. Step 3: Cross multiply
    2,438,180,392x = 5,342,168,816 × 5,342,168,816
  4. Step 4: Simplify right side
    2,438,180,392x = 28,538,767,658,642,841,600
  5. Step 5: Solve for x
    x = 28,538,767,658,642,841,600/2,438,180,392
  6. Step 6: Final answer
    x = 11,704,945,110.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.