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Finding the Third Proportional to 2,804,913.50 and 6,141,862.50

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Solution

The third proportional to 2,804,913.50 and 6,141,862.50 is: 13,448,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804,913.50 : 6,141,862.50 = 6,141,862.50 : x
  2. Step 2: Convert to fraction form
    2,804,913.50/6,141,862.50 = 6,141,862.50/x
  3. Step 3: Cross multiply
    2,804,913.50x = 6,141,862.50 × 6,141,862.50
  4. Step 4: Simplify right side
    2,804,913.50x = 37,722,474,968,906.25
  5. Step 5: Solve for x
    x = 37,722,474,968,906.25/2,804,913.50
  6. Step 6: Final answer
    x = 13,448,712.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.