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Finding the Third Proportional to 2,266,643.25 and 4,898,647.13

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Solution

The third proportional to 2,266,643.25 and 4,898,647.13 is: 10,586,908.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,643.25 : 4,898,647.13 = 4,898,647.13 : x
  2. Step 2: Convert to fraction form
    2,266,643.25/4,898,647.13 = 4,898,647.13/x
  3. Step 3: Cross multiply
    2,266,643.25x = 4,898,647.13 × 4,898,647.13
  4. Step 4: Simplify right side
    2,266,643.25x = 23,996,743,655,270.77
  5. Step 5: Solve for x
    x = 23,996,743,655,270.77/2,266,643.25
  6. Step 6: Final answer
    x = 10,586,908.04

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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.