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Finding the Third Proportional to 25,622,661,536 and 55,176,868,672

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Solution

The third proportional to 25,622,661,536 and 55,176,868,672 is: 118,820,085,578.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,622,661,536 : 55,176,868,672 = 55,176,868,672 : x
  2. Step 2: Convert to fraction form
    25,622,661,536/55,176,868,672 = 55,176,868,672/x
  3. Step 3: Cross multiply
    25,622,661,536x = 55,176,868,672 × 55,176,868,672
  4. Step 4: Simplify right side
    25,622,661,536x = 3,044,486,836,447,134,875,648
  5. Step 5: Solve for x
    x = 3,044,486,836,447,134,875,648/25,622,661,536
  6. Step 6: Final answer
    x = 118,820,085,578.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.