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Finding the Third Proportional to 32,696,743.50 and 77,075,347.50

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Solution

The third proportional to 32,696,743.50 and 77,075,347.50 is: 181,688,099.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696,743.50 : 77,075,347.50 = 77,075,347.50 : x
  2. Step 2: Convert to fraction form
    32,696,743.50/77,075,347.50 = 77,075,347.50/x
  3. Step 3: Cross multiply
    32,696,743.50x = 77,075,347.50 × 77,075,347.50
  4. Step 4: Simplify right side
    32,696,743.50x = 5,940,609,192,245,756
  5. Step 5: Solve for x
    x = 5,940,609,192,245,756/32,696,743.50
  6. Step 6: Final answer
    x = 181,688,099.68

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.