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Finding the Third Proportional to 30,243,691.50 and 45,926,503.50

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Solution

The third proportional to 30,243,691.50 and 45,926,503.50 is: 69,741,609.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243,691.50 : 45,926,503.50 = 45,926,503.50 : x
  2. Step 2: Convert to fraction form
    30,243,691.50/45,926,503.50 = 45,926,503.50/x
  3. Step 3: Cross multiply
    30,243,691.50x = 45,926,503.50 × 45,926,503.50
  4. Step 4: Simplify right side
    30,243,691.50x = 2,109,243,723,735,512.25
  5. Step 5: Solve for x
    x = 2,109,243,723,735,512.25/30,243,691.50
  6. Step 6: Final answer
    x = 69,741,609.54

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.