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Finding the Third Proportional to 32,210,854 and 68,152,647

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Solution

The third proportional to 32,210,854 and 68,152,647 is: 144,199,321.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210,854 : 68,152,647 = 68,152,647 : x
  2. Step 2: Convert to fraction form
    32,210,854/68,152,647 = 68,152,647/x
  3. Step 3: Cross multiply
    32,210,854x = 68,152,647 × 68,152,647
  4. Step 4: Simplify right side
    32,210,854x = 4,644,783,293,106,609
  5. Step 5: Solve for x
    x = 4,644,783,293,106,609/32,210,854
  6. Step 6: Final answer
    x = 144,199,321.54

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