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Finding the Third Proportional to 2,234,075.25 and 4,822,444.88

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Solution

The third proportional to 2,234,075.25 and 4,822,444.88 is: 10,409,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234,075.25 : 4,822,444.88 = 4,822,444.88 : x
  2. Step 2: Convert to fraction form
    2,234,075.25/4,822,444.88 = 4,822,444.88/x
  3. Step 3: Cross multiply
    2,234,075.25x = 4,822,444.88 × 4,822,444.88
  4. Step 4: Simplify right side
    2,234,075.25x = 23,255,974,572,413.77
  5. Step 5: Solve for x
    x = 23,255,974,572,413.77/2,234,075.25
  6. Step 6: Final answer
    x = 10,409,664.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.