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Finding the Third Proportional to 207,316,804 and 479,951,120

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Solution

The third proportional to 207,316,804 and 479,951,120 is: 1,111,116,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316,804 : 479,951,120 = 479,951,120 : x
  2. Step 2: Convert to fraction form
    207,316,804/479,951,120 = 479,951,120/x
  3. Step 3: Cross multiply
    207,316,804x = 479,951,120 × 479,951,120
  4. Step 4: Simplify right side
    207,316,804x = 230,353,077,589,254,400
  5. Step 5: Solve for x
    x = 230,353,077,589,254,400/207,316,804
  6. Step 6: Final answer
    x = 1,111,116,287.46

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.