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Finding the Third Proportional to 247,928,570 and 540,498,232

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Solution

The third proportional to 247,928,570 and 540,498,232 is: 1,178,316,556.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,928,570 : 540,498,232 = 540,498,232 : x
  2. Step 2: Convert to fraction form
    247,928,570/540,498,232 = 540,498,232/x
  3. Step 3: Cross multiply
    247,928,570x = 540,498,232 × 540,498,232
  4. Step 4: Simplify right side
    247,928,570x = 292,138,338,795,125,824
  5. Step 5: Solve for x
    x = 292,138,338,795,125,824/247,928,570
  6. Step 6: Final answer
    x = 1,178,316,556.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.