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Finding the Third Proportional to 127,153,428 and 274,634,286

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Solution

The third proportional to 127,153,428 and 274,634,286 is: 593,173,084.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153,428 : 274,634,286 = 274,634,286 : x
  2. Step 2: Convert to fraction form
    127,153,428/274,634,286 = 274,634,286/x
  3. Step 3: Cross multiply
    127,153,428x = 274,634,286 × 274,634,286
  4. Step 4: Simplify right side
    127,153,428x = 75,423,991,046,729,792
  5. Step 5: Solve for x
    x = 75,423,991,046,729,792/127,153,428
  6. Step 6: Final answer
    x = 593,173,084.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.