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Finding the Third Proportional to 19,400,977.50 and 30,434,442

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Solution

The third proportional to 19,400,977.50 and 30,434,442 is: 47,742,710.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400,977.50 : 30,434,442 = 30,434,442 : x
  2. Step 2: Convert to fraction form
    19,400,977.50/30,434,442 = 30,434,442/x
  3. Step 3: Cross multiply
    19,400,977.50x = 30,434,442 × 30,434,442
  4. Step 4: Simplify right side
    19,400,977.50x = 926,255,259,851,364
  5. Step 5: Solve for x
    x = 926,255,259,851,364/19,400,977.50
  6. Step 6: Final answer
    x = 47,742,710.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.