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Finding the Third Proportional to 464,133,294 and 696,200,025

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Solution

The third proportional to 464,133,294 and 696,200,025 is: 1,044,300,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,133,294 : 696,200,025 = 696,200,025 : x
  2. Step 2: Convert to fraction form
    464,133,294/696,200,025 = 696,200,025/x
  3. Step 3: Cross multiply
    464,133,294x = 696,200,025 × 696,200,025
  4. Step 4: Simplify right side
    464,133,294x = 484,694,474,810,000,640
  5. Step 5: Solve for x
    x = 484,694,474,810,000,640/464,133,294
  6. Step 6: Final answer
    x = 1,044,300,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.