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Finding the Third Proportional to 247,928,577 and 540,498,261

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Solution

The third proportional to 247,928,577 and 540,498,261 is: 1,178,316,649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,928,577 : 540,498,261 = 540,498,261 : x
  2. Step 2: Convert to fraction form
    247,928,577/540,498,261 = 540,498,261/x
  3. Step 3: Cross multiply
    247,928,577x = 540,498,261 × 540,498,261
  4. Step 4: Simplify right side
    247,928,577x = 292,138,370,144,024,128
  5. Step 5: Solve for x
    x = 292,138,370,144,024,128/247,928,577
  6. Step 6: Final answer
    x = 1,178,316,649.41

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Why These Related Problems?

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