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Finding the Third Proportional to 75,406,682 and 115,301,343

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Solution

The third proportional to 75,406,682 and 115,301,343 is: 176,302,674.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406,682 : 115,301,343 = 115,301,343 : x
  2. Step 2: Convert to fraction form
    75,406,682/115,301,343 = 115,301,343/x
  3. Step 3: Cross multiply
    75,406,682x = 115,301,343 × 115,301,343
  4. Step 4: Simplify right side
    75,406,682x = 13,294,399,697,603,648
  5. Step 5: Solve for x
    x = 13,294,399,697,603,648/75,406,682
  6. Step 6: Final answer
    x = 176,302,674.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.