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Finding the Third Proportional to 210,311,054 and 486,832,009

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Solution

The third proportional to 210,311,054 and 486,832,009 is: 1,126,927,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,311,054 : 486,832,009 = 486,832,009 : x
  2. Step 2: Convert to fraction form
    210,311,054/486,832,009 = 486,832,009/x
  3. Step 3: Cross multiply
    210,311,054x = 486,832,009 × 486,832,009
  4. Step 4: Simplify right side
    210,311,054x = 237,005,404,986,976,096
  5. Step 5: Solve for x
    x = 237,005,404,986,976,096/210,311,054
  6. Step 6: Final answer
    x = 1,126,927,950.19

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.