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Finding the Third Proportional to 54,612,201,613,782 and 78,905,200,464,858

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Solution

The third proportional to 54,612,201,613,782 and 78,905,200,464,858 is: 114,004,388,697,419.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,612,201,613,782 : 78,905,200,464,858 = 78,905,200,464,858 : x
  2. Step 2: Convert to fraction form
    54,612,201,613,782/78,905,200,464,858 = 78,905,200,464,858/x
  3. Step 3: Cross multiply
    54,612,201,613,782x = 78,905,200,464,858 × 78,905,200,464,858
  4. Step 4: Simplify right side
    54,612,201,613,782x = 6,226,030,660,399,426,661,917,917,184
  5. Step 5: Solve for x
    x = 6,226,030,660,399,426,661,917,917,184/54,612,201,613,782
  6. Step 6: Final answer
    x = 114,004,388,697,419.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.