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Finding the Third Proportional to 7,824,009 and 16,804,942

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Solution

The third proportional to 7,824,009 and 16,804,942 is: 36,094,804.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824,009 : 16,804,942 = 16,804,942 : x
  2. Step 2: Convert to fraction form
    7,824,009/16,804,942 = 16,804,942/x
  3. Step 3: Cross multiply
    7,824,009x = 16,804,942 × 16,804,942
  4. Step 4: Simplify right side
    7,824,009x = 282,406,075,623,364
  5. Step 5: Solve for x
    x = 282,406,075,623,364/7,824,009
  6. Step 6: Final answer
    x = 36,094,804.55

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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.