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Finding the Third Proportional to 9,778,629,228 and 21,181,771,074

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Solution

The third proportional to 9,778,629,228 and 21,181,771,074 is: 45,882,445,828.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,629,228 : 21,181,771,074 = 21,181,771,074 : x
  2. Step 2: Convert to fraction form
    9,778,629,228/21,181,771,074 = 21,181,771,074/x
  3. Step 3: Cross multiply
    9,778,629,228x = 21,181,771,074 × 21,181,771,074
  4. Step 4: Simplify right side
    9,778,629,228x = 448,667,425,831,343,095,808
  5. Step 5: Solve for x
    x = 448,667,425,831,343,095,808/9,778,629,228
  6. Step 6: Final answer
    x = 45,882,445,828.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.