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Finding the Third Proportional to 32,412,069 and 70,205,130

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Solution

The third proportional to 32,412,069 and 70,205,130 is: 152,065,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412,069 : 70,205,130 = 70,205,130 : x
  2. Step 2: Convert to fraction form
    32,412,069/70,205,130 = 70,205,130/x
  3. Step 3: Cross multiply
    32,412,069x = 70,205,130 × 70,205,130
  4. Step 4: Simplify right side
    32,412,069x = 4,928,760,278,316,900
  5. Step 5: Solve for x
    x = 4,928,760,278,316,900/32,412,069
  6. Step 6: Final answer
    x = 152,065,586.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.