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Finding the Third Proportional to 2,398,784.63 and 5,662,715.06

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Solution

The third proportional to 2,398,784.63 and 5,662,715.06 is: 13,367,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398,784.63 : 5,662,715.06 = 5,662,715.06 : x
  2. Step 2: Convert to fraction form
    2,398,784.63/5,662,715.06 = 5,662,715.06/x
  3. Step 3: Cross multiply
    2,398,784.63x = 5,662,715.06 × 5,662,715.06
  4. Step 4: Simplify right side
    2,398,784.63x = 32,066,341,879,064.38
  5. Step 5: Solve for x
    x = 32,066,341,879,064.38/2,398,784.63
  6. Step 6: Final answer
    x = 13,367,745.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.