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Finding the Third Proportional to 14,596,427.25 and 32,106,564.75

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Solution

The third proportional to 14,596,427.25 and 32,106,564.75 is: 70,622,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596,427.25 : 32,106,564.75 = 32,106,564.75 : x
  2. Step 2: Convert to fraction form
    14,596,427.25/32,106,564.75 = 32,106,564.75/x
  3. Step 3: Cross multiply
    14,596,427.25x = 32,106,564.75 × 32,106,564.75
  4. Step 4: Simplify right side
    14,596,427.25x = 1,030,831,500,045,942.50
  5. Step 5: Solve for x
    x = 1,030,831,500,045,942.50/14,596,427.25
  6. Step 6: Final answer
    x = 70,622,179.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.