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Finding the Third Proportional to 12,293,974 and 18,042,377.50

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Solution

The third proportional to 12,293,974 and 18,042,377.50 is: 26,478,613.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,293,974 : 18,042,377.50 = 18,042,377.50 : x
  2. Step 2: Convert to fraction form
    12,293,974/18,042,377.50 = 18,042,377.50/x
  3. Step 3: Cross multiply
    12,293,974x = 18,042,377.50 × 18,042,377.50
  4. Step 4: Simplify right side
    12,293,974x = 325,527,385,852,506.25
  5. Step 5: Solve for x
    x = 325,527,385,852,506.25/12,293,974
  6. Step 6: Final answer
    x = 26,478,613.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.