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Finding the Third Proportional to 25,023,684 and 54,830,328

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Solution

The third proportional to 25,023,684 and 54,830,328 is: 120,140,778.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,023,684 : 54,830,328 = 54,830,328 : x
  2. Step 2: Convert to fraction form
    25,023,684/54,830,328 = 54,830,328/x
  3. Step 3: Cross multiply
    25,023,684x = 54,830,328 × 54,830,328
  4. Step 4: Simplify right side
    25,023,684x = 3,006,364,868,587,584
  5. Step 5: Solve for x
    x = 3,006,364,868,587,584/25,023,684
  6. Step 6: Final answer
    x = 120,140,778.18

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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.