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Finding the Third Proportional to 331,939,161 and 487,146,663

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Solution

The third proportional to 331,939,161 and 487,146,663 is: 714,925,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,939,161 : 487,146,663 = 487,146,663 : x
  2. Step 2: Convert to fraction form
    331,939,161/487,146,663 = 487,146,663/x
  3. Step 3: Cross multiply
    331,939,161x = 487,146,663 × 487,146,663
  4. Step 4: Simplify right side
    331,939,161x = 237,311,871,272,035,584
  5. Step 5: Solve for x
    x = 237,311,871,272,035,584/331,939,161
  6. Step 6: Final answer
    x = 714,925,803.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.