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Finding the Third Proportional to 14,926,032 and 31,355,991

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Solution

The third proportional to 14,926,032 and 31,355,991 is: 65,871,369.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,926,032 : 31,355,991 = 31,355,991 : x
  2. Step 2: Convert to fraction form
    14,926,032/31,355,991 = 31,355,991/x
  3. Step 3: Cross multiply
    14,926,032x = 31,355,991 × 31,355,991
  4. Step 4: Simplify right side
    14,926,032x = 983,198,171,592,081
  5. Step 5: Solve for x
    x = 983,198,171,592,081/14,926,032
  6. Step 6: Final answer
    x = 65,871,369.67

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.