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Finding the Third Proportional to 84,666,897 and 179,507,475

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Solution

The third proportional to 84,666,897 and 179,507,475 is: 380,584,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,666,897 : 179,507,475 = 179,507,475 : x
  2. Step 2: Convert to fraction form
    84,666,897/179,507,475 = 179,507,475/x
  3. Step 3: Cross multiply
    84,666,897x = 179,507,475 × 179,507,475
  4. Step 4: Simplify right side
    84,666,897x = 32,222,933,580,875,624
  5. Step 5: Solve for x
    x = 32,222,933,580,875,624/84,666,897
  6. Step 6: Final answer
    x = 380,584,794.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.