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Finding the Third Proportional to 47,881,282.50 and 74,292,096

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Solution

The third proportional to 47,881,282.50 and 74,292,096 is: 115,270,837.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,881,282.50 : 74,292,096 = 74,292,096 : x
  2. Step 2: Convert to fraction form
    47,881,282.50/74,292,096 = 74,292,096/x
  3. Step 3: Cross multiply
    47,881,282.50x = 74,292,096 × 74,292,096
  4. Step 4: Simplify right side
    47,881,282.50x = 5,519,315,528,073,216
  5. Step 5: Solve for x
    x = 5,519,315,528,073,216/47,881,282.50
  6. Step 6: Final answer
    x = 115,270,837.37

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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.