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Finding the Third Proportional to 383,683,449 and 593,860,009.50

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Solution

The third proportional to 383,683,449 and 593,860,009.50 is: 919,168,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,683,449 : 593,860,009.50 = 593,860,009.50 : x
  2. Step 2: Convert to fraction form
    383,683,449/593,860,009.50 = 593,860,009.50/x
  3. Step 3: Cross multiply
    383,683,449x = 593,860,009.50 × 593,860,009.50
  4. Step 4: Simplify right side
    383,683,449x = 352,669,710,883,340,096
  5. Step 5: Solve for x
    x = 352,669,710,883,340,096/383,683,449
  6. Step 6: Final answer
    x = 919,168,423.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.