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Finding the Third Proportional to 75,471,783 and 161,706,894

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Solution

The third proportional to 75,471,783 and 161,706,894 is: 346,475,444.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,471,783 : 161,706,894 = 161,706,894 : x
  2. Step 2: Convert to fraction form
    75,471,783/161,706,894 = 161,706,894/x
  3. Step 3: Cross multiply
    75,471,783x = 161,706,894 × 161,706,894
  4. Step 4: Simplify right side
    75,471,783x = 26,149,119,567,127,236
  5. Step 5: Solve for x
    x = 26,149,119,567,127,236/75,471,783
  6. Step 6: Final answer
    x = 346,475,444.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.