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Finding the Third Proportional to 30,960,965.50 and 43,308,422.50

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Solution

The third proportional to 30,960,965.50 and 43,308,422.50 is: 60,580,134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960,965.50 : 43,308,422.50 = 43,308,422.50 : x
  2. Step 2: Convert to fraction form
    30,960,965.50/43,308,422.50 = 43,308,422.50/x
  3. Step 3: Cross multiply
    30,960,965.50x = 43,308,422.50 × 43,308,422.50
  4. Step 4: Simplify right side
    30,960,965.50x = 1,875,619,459,438,506.25
  5. Step 5: Solve for x
    x = 1,875,619,459,438,506.25/30,960,965.50
  6. Step 6: Final answer
    x = 60,580,134.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.