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Finding the Third Proportional to 30,532,069.13 and 47,215,370.81

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Solution

The third proportional to 30,532,069.13 and 47,215,370.81 is: 73,014,744.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,069.13 : 47,215,370.81 = 47,215,370.81 : x
  2. Step 2: Convert to fraction form
    30,532,069.13/47,215,370.81 = 47,215,370.81/x
  3. Step 3: Cross multiply
    30,532,069.13x = 47,215,370.81 × 47,215,370.81
  4. Step 4: Simplify right side
    30,532,069.13x = 2,229,291,240,961,877
  5. Step 5: Solve for x
    x = 2,229,291,240,961,877/30,532,069.13
  6. Step 6: Final answer
    x = 73,014,744.98

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.