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Finding the Third Proportional to 30,810,225 and 47,681,991

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Solution

The third proportional to 30,810,225 and 47,681,991 is: 73,792,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810,225 : 47,681,991 = 47,681,991 : x
  2. Step 2: Convert to fraction form
    30,810,225/47,681,991 = 47,681,991/x
  3. Step 3: Cross multiply
    30,810,225x = 47,681,991 × 47,681,991
  4. Step 4: Simplify right side
    30,810,225x = 2,273,572,265,724,081
  5. Step 5: Solve for x
    x = 2,273,572,265,724,081/30,810,225
  6. Step 6: Final answer
    x = 73,792,783.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.