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Finding the Third Proportional to 2,454,842,196 and 5,384,954,484

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Solution

The third proportional to 2,454,842,196 and 5,384,954,484 is: 11,812,463,889.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,842,196 : 5,384,954,484 = 5,384,954,484 : x
  2. Step 2: Convert to fraction form
    2,454,842,196/5,384,954,484 = 5,384,954,484/x
  3. Step 3: Cross multiply
    2,454,842,196x = 5,384,954,484 × 5,384,954,484
  4. Step 4: Simplify right side
    2,454,842,196x = 28,997,734,794,751,705,088
  5. Step 5: Solve for x
    x = 28,997,734,794,751,705,088/2,454,842,196
  6. Step 6: Final answer
    x = 11,812,463,889.53

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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.