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Finding the Third Proportional to 25,077,696.75 and 35,314,822.13

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Solution

The third proportional to 25,077,696.75 and 35,314,822.13 is: 49,730,909.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077,696.75 : 35,314,822.13 = 35,314,822.13 : x
  2. Step 2: Convert to fraction form
    25,077,696.75/35,314,822.13 = 35,314,822.13/x
  3. Step 3: Cross multiply
    25,077,696.75x = 35,314,822.13 × 35,314,822.13
  4. Step 4: Simplify right side
    25,077,696.75x = 1,247,136,661,720,389.50
  5. Step 5: Solve for x
    x = 1,247,136,661,720,389.50/25,077,696.75
  6. Step 6: Final answer
    x = 49,730,909.27

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.