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Finding the Third Proportional to 73,685,326,953 and 113,189,676,765

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Solution

The third proportional to 73,685,326,953 and 113,189,676,765 is: 173,873,190,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,685,326,953 : 113,189,676,765 = 113,189,676,765 : x
  2. Step 2: Convert to fraction form
    73,685,326,953/113,189,676,765 = 113,189,676,765/x
  3. Step 3: Cross multiply
    73,685,326,953x = 113,189,676,765 × 113,189,676,765
  4. Step 4: Simplify right side
    73,685,326,953x = 12,811,902,926,165,179,891,712
  5. Step 5: Solve for x
    x = 12,811,902,926,165,179,891,712/73,685,326,953
  6. Step 6: Final answer
    x = 173,873,190,986.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.