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Finding the Third Proportional to 25,527,419,328 and 39,213,241,640

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Solution

The third proportional to 25,527,419,328 and 39,213,241,640 is: 60,236,340,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527,419,328 : 39,213,241,640 = 39,213,241,640 : x
  2. Step 2: Convert to fraction form
    25,527,419,328/39,213,241,640 = 39,213,241,640/x
  3. Step 3: Cross multiply
    25,527,419,328x = 39,213,241,640 × 39,213,241,640
  4. Step 4: Simplify right side
    25,527,419,328x = 1,537,678,319,917,029,916,672
  5. Step 5: Solve for x
    x = 1,537,678,319,917,029,916,672/25,527,419,328
  6. Step 6: Final answer
    x = 60,236,340,389.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.