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Finding the Third Proportional to 19,400,971.50 and 30,434,433

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Solution

The third proportional to 19,400,971.50 and 30,434,433 is: 47,742,697.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,400,971.50 : 30,434,433 = 30,434,433 : x
  2. Step 2: Convert to fraction form
    19,400,971.50/30,434,433 = 30,434,433/x
  3. Step 3: Cross multiply
    19,400,971.50x = 30,434,433 × 30,434,433
  4. Step 4: Simplify right side
    19,400,971.50x = 926,254,712,031,489
  5. Step 5: Solve for x
    x = 926,254,712,031,489/19,400,971.50
  6. Step 6: Final answer
    x = 47,742,697.42

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Why These Related Problems?

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