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Finding the Third Proportional to 10,432,303.50 and 22,407,171

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Solution

The third proportional to 10,432,303.50 and 22,407,171 is: 48,127,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,303.50 : 22,407,171 = 22,407,171 : x
  2. Step 2: Convert to fraction form
    10,432,303.50/22,407,171 = 22,407,171/x
  3. Step 3: Cross multiply
    10,432,303.50x = 22,407,171 × 22,407,171
  4. Step 4: Simplify right side
    10,432,303.50x = 502,081,312,223,241
  5. Step 5: Solve for x
    x = 502,081,312,223,241/10,432,303.50
  6. Step 6: Final answer
    x = 48,127,559.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.