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Finding the Third Proportional to 782,646,053 and 1,705,924,966

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Solution

The third proportional to 782,646,053 and 1,705,924,966 is: 3,718,385,825.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,646,053 : 1,705,924,966 = 1,705,924,966 : x
  2. Step 2: Convert to fraction form
    782,646,053/1,705,924,966 = 1,705,924,966/x
  3. Step 3: Cross multiply
    782,646,053x = 1,705,924,966 × 1,705,924,966
  4. Step 4: Simplify right side
    782,646,053x = 2,910,179,989,622,100,992
  5. Step 5: Solve for x
    x = 2,910,179,989,622,100,992/782,646,053
  6. Step 6: Final answer
    x = 3,718,385,825.20

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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.