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Finding the Third Proportional to 30,791,737.50 and 43,048,663.50

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Solution

The third proportional to 30,791,737.50 and 43,048,663.50 is: 60,184,568.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,791,737.50 : 43,048,663.50 = 43,048,663.50 : x
  2. Step 2: Convert to fraction form
    30,791,737.50/43,048,663.50 = 43,048,663.50/x
  3. Step 3: Cross multiply
    30,791,737.50x = 43,048,663.50 × 43,048,663.50
  4. Step 4: Simplify right side
    30,791,737.50x = 1,853,187,429,136,232.25
  5. Step 5: Solve for x
    x = 1,853,187,429,136,232.25/30,791,737.50
  6. Step 6: Final answer
    x = 60,184,568.32

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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.