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Finding the Third Proportional to 2,370,434.63 and 5,202,255.38

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Solution

The third proportional to 2,370,434.63 and 5,202,255.38 is: 11,417,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370,434.63 : 5,202,255.38 = 5,202,255.38 : x
  2. Step 2: Convert to fraction form
    2,370,434.63/5,202,255.38 = 5,202,255.38/x
  3. Step 3: Cross multiply
    2,370,434.63x = 5,202,255.38 × 5,202,255.38
  4. Step 4: Simplify right side
    2,370,434.63x = 27,063,460,986,716.39
  5. Step 5: Solve for x
    x = 27,063,460,986,716.39/2,370,434.63
  6. Step 6: Final answer
    x = 11,417,088.12

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