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Finding the Third Proportional to 14,648,740 and 31,819,400

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Solution

The third proportional to 14,648,740 and 31,819,400 is: 69,116,812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648,740 : 31,819,400 = 31,819,400 : x
  2. Step 2: Convert to fraction form
    14,648,740/31,819,400 = 31,819,400/x
  3. Step 3: Cross multiply
    14,648,740x = 31,819,400 × 31,819,400
  4. Step 4: Simplify right side
    14,648,740x = 1,012,474,216,360,000
  5. Step 5: Solve for x
    x = 1,012,474,216,360,000/14,648,740
  6. Step 6: Final answer
    x = 69,116,812.53

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