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Finding the Third Proportional to 32,619,970 and 51,822,819

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Solution

The third proportional to 32,619,970 and 51,822,819 is: 82,330,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,619,970 : 51,822,819 = 51,822,819 : x
  2. Step 2: Convert to fraction form
    32,619,970/51,822,819 = 51,822,819/x
  3. Step 3: Cross multiply
    32,619,970x = 51,822,819 × 51,822,819
  4. Step 4: Simplify right side
    32,619,970x = 2,685,604,569,106,761
  5. Step 5: Solve for x
    x = 2,685,604,569,106,761/32,619,970
  6. Step 6: Final answer
    x = 82,330,074.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.