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Finding the Third Proportional to 239,351,710 and 524,103,894

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Solution

The third proportional to 239,351,710 and 524,103,894 is: 1,147,620,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,351,710 : 524,103,894 = 524,103,894 : x
  2. Step 2: Convert to fraction form
    239,351,710/524,103,894 = 524,103,894/x
  3. Step 3: Cross multiply
    239,351,710x = 524,103,894 × 524,103,894
  4. Step 4: Simplify right side
    239,351,710x = 274,684,891,705,963,232
  5. Step 5: Solve for x
    x = 274,684,891,705,963,232/239,351,710
  6. Step 6: Final answer
    x = 1,147,620,343.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.