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Finding the Third Proportional to 19,285,780.50 and 40,169,205

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Solution

The third proportional to 19,285,780.50 and 40,169,205 is: 83,666,047.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,285,780.50 : 40,169,205 = 40,169,205 : x
  2. Step 2: Convert to fraction form
    19,285,780.50/40,169,205 = 40,169,205/x
  3. Step 3: Cross multiply
    19,285,780.50x = 40,169,205 × 40,169,205
  4. Step 4: Simplify right side
    19,285,780.50x = 1,613,565,030,332,025
  5. Step 5: Solve for x
    x = 1,613,565,030,332,025/19,285,780.50
  6. Step 6: Final answer
    x = 83,666,047.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.