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Finding the Third Proportional to 2,454,645,268 and 5,368,446,808

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Solution

The third proportional to 2,454,645,268 and 5,368,446,808 is: 11,741,094,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454,645,268 : 5,368,446,808 = 5,368,446,808 : x
  2. Step 2: Convert to fraction form
    2,454,645,268/5,368,446,808 = 5,368,446,808/x
  3. Step 3: Cross multiply
    2,454,645,268x = 5,368,446,808 × 5,368,446,808
  4. Step 4: Simplify right side
    2,454,645,268x = 28,820,221,130,325,389,312
  5. Step 5: Solve for x
    x = 28,820,221,130,325,389,312/2,454,645,268
  6. Step 6: Final answer
    x = 11,741,094,123.07

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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.