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Finding the Third Proportional to 7,774,420.50 and 16,916,195.25

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Solution

The third proportional to 7,774,420.50 and 16,916,195.25 is: 36,807,587.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774,420.50 : 16,916,195.25 = 16,916,195.25 : x
  2. Step 2: Convert to fraction form
    7,774,420.50/16,916,195.25 = 16,916,195.25/x
  3. Step 3: Cross multiply
    7,774,420.50x = 16,916,195.25 × 16,916,195.25
  4. Step 4: Simplify right side
    7,774,420.50x = 286,157,661,736,122.56
  5. Step 5: Solve for x
    x = 286,157,661,736,122.56/7,774,420.50
  6. Step 6: Final answer
    x = 36,807,587.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.