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Finding the Third Proportional to 11,254,490,496 and 23,964,578,208

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Solution

The third proportional to 11,254,490,496 and 23,964,578,208 is: 51,028,610,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,254,490,496 : 23,964,578,208 = 23,964,578,208 : x
  2. Step 2: Convert to fraction form
    11,254,490,496/23,964,578,208 = 23,964,578,208/x
  3. Step 3: Cross multiply
    11,254,490,496x = 23,964,578,208 × 23,964,578,208
  4. Step 4: Simplify right side
    11,254,490,496x = 574,301,008,687,348,514,816
  5. Step 5: Solve for x
    x = 574,301,008,687,348,514,816/11,254,490,496
  6. Step 6: Final answer
    x = 51,028,610,214.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.