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Finding the Third Proportional to 272,020,772 and 587,028,568

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Solution

The third proportional to 272,020,772 and 587,028,568 is: 1,266,824,357.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,020,772 : 587,028,568 = 587,028,568 : x
  2. Step 2: Convert to fraction form
    272,020,772/587,028,568 = 587,028,568/x
  3. Step 3: Cross multiply
    272,020,772x = 587,028,568 × 587,028,568
  4. Step 4: Simplify right side
    272,020,772x = 344,602,539,648,130,624
  5. Step 5: Solve for x
    x = 344,602,539,648,130,624/272,020,772
  6. Step 6: Final answer
    x = 1,266,824,357.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.