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Finding the Third Proportional to 29,739,362 and 45,463,777

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Solution

The third proportional to 29,739,362 and 45,463,777 is: 69,502,332.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,739,362 : 45,463,777 = 45,463,777 : x
  2. Step 2: Convert to fraction form
    29,739,362/45,463,777 = 45,463,777/x
  3. Step 3: Cross multiply
    29,739,362x = 45,463,777 × 45,463,777
  4. Step 4: Simplify right side
    29,739,362x = 2,066,955,019,105,729
  5. Step 5: Solve for x
    x = 2,066,955,019,105,729/29,739,362
  6. Step 6: Final answer
    x = 69,502,332.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.