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Finding the Third Proportional to 458,501,302 and 1,007,076,489.50

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Solution

The third proportional to 458,501,302 and 1,007,076,489.50 is: 2,211,996,021.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,501,302 : 1,007,076,489.50 = 1,007,076,489.50 : x
  2. Step 2: Convert to fraction form
    458,501,302/1,007,076,489.50 = 1,007,076,489.50/x
  3. Step 3: Cross multiply
    458,501,302x = 1,007,076,489.50 × 1,007,076,489.50
  4. Step 4: Simplify right side
    458,501,302x = 1,014,203,055,703,643,648
  5. Step 5: Solve for x
    x = 1,014,203,055,703,643,648/458,501,302
  6. Step 6: Final answer
    x = 2,211,996,021.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.