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Finding the Third Proportional to 30,103,221 and 45,222,655.50

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Solution

The third proportional to 30,103,221 and 45,222,655.50 is: 67,935,872.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,103,221 : 45,222,655.50 = 45,222,655.50 : x
  2. Step 2: Convert to fraction form
    30,103,221/45,222,655.50 = 45,222,655.50/x
  3. Step 3: Cross multiply
    30,103,221x = 45,222,655.50 × 45,222,655.50
  4. Step 4: Simplify right side
    30,103,221x = 2,045,088,570,471,680.25
  5. Step 5: Solve for x
    x = 2,045,088,570,471,680.25/30,103,221
  6. Step 6: Final answer
    x = 67,935,872.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.