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Finding the Third Proportional to 546,470,304 and 1,180,193,280

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Solution

The third proportional to 546,470,304 and 1,180,193,280 is: 2,548,823,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,470,304 : 1,180,193,280 = 1,180,193,280 : x
  2. Step 2: Convert to fraction form
    546,470,304/1,180,193,280 = 1,180,193,280/x
  3. Step 3: Cross multiply
    546,470,304x = 1,180,193,280 × 1,180,193,280
  4. Step 4: Simplify right side
    546,470,304x = 1,392,856,178,157,158,400
  5. Step 5: Solve for x
    x = 1,392,856,178,157,158,400/546,470,304
  6. Step 6: Final answer
    x = 2,548,823,180.26

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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.