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Finding the Third Proportional to 30,649,702 and 65,463,440

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Solution

The third proportional to 30,649,702 and 65,463,440 is: 139,820,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649,702 : 65,463,440 = 65,463,440 : x
  2. Step 2: Convert to fraction form
    30,649,702/65,463,440 = 65,463,440/x
  3. Step 3: Cross multiply
    30,649,702x = 65,463,440 × 65,463,440
  4. Step 4: Simplify right side
    30,649,702x = 4,285,461,976,633,600
  5. Step 5: Solve for x
    x = 4,285,461,976,633,600/30,649,702
  6. Step 6: Final answer
    x = 139,820,673.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.