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Finding the Third Proportional to 9,917,877,632 and 21,579,070,958

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Solution

The third proportional to 9,917,877,632 and 21,579,070,958 is: 46,951,204,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917,877,632 : 21,579,070,958 = 21,579,070,958 : x
  2. Step 2: Convert to fraction form
    9,917,877,632/21,579,070,958 = 21,579,070,958/x
  3. Step 3: Cross multiply
    9,917,877,632x = 21,579,070,958 × 21,579,070,958
  4. Step 4: Simplify right side
    9,917,877,632x = 465,656,303,410,399,019,008
  5. Step 5: Solve for x
    x = 465,656,303,410,399,019,008/9,917,877,632
  6. Step 6: Final answer
    x = 46,951,204,752.51

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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.