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Finding the Third Proportional to 316,879,025 and 680,613,391

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Solution

The third proportional to 316,879,025 and 680,613,391 is: 1,461,865,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,879,025 : 680,613,391 = 680,613,391 : x
  2. Step 2: Convert to fraction form
    316,879,025/680,613,391 = 680,613,391/x
  3. Step 3: Cross multiply
    316,879,025x = 680,613,391 × 680,613,391
  4. Step 4: Simplify right side
    316,879,025x = 463,234,588,008,518,912
  5. Step 5: Solve for x
    x = 463,234,588,008,518,912/316,879,025
  6. Step 6: Final answer
    x = 1,461,865,732.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.