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Finding the Third Proportional to 2,901,703.50 and 6,825,242.25

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Solution

The third proportional to 2,901,703.50 and 6,825,242.25 is: 16,053,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901,703.50 : 6,825,242.25 = 6,825,242.25 : x
  2. Step 2: Convert to fraction form
    2,901,703.50/6,825,242.25 = 6,825,242.25/x
  3. Step 3: Cross multiply
    2,901,703.50x = 6,825,242.25 × 6,825,242.25
  4. Step 4: Simplify right side
    2,901,703.50x = 46,583,931,771,185.06
  5. Step 5: Solve for x
    x = 46,583,931,771,185.06/2,901,703.50
  6. Step 6: Final answer
    x = 16,053,994.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.