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Finding the Third Proportional to 57,696,354 and 82,500,255

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Solution

The third proportional to 57,696,354 and 82,500,255 is: 117,967,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696,354 : 82,500,255 = 82,500,255 : x
  2. Step 2: Convert to fraction form
    57,696,354/82,500,255 = 82,500,255/x
  3. Step 3: Cross multiply
    57,696,354x = 82,500,255 × 82,500,255
  4. Step 4: Simplify right side
    57,696,354x = 6,806,292,075,065,025
  5. Step 5: Solve for x
    x = 6,806,292,075,065,025/57,696,354
  6. Step 6: Final answer
    x = 117,967,455.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.