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Finding the Third Proportional to 1,314,214,261 and 2,827,753,381

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Solution

The third proportional to 1,314,214,261 and 2,827,753,381 is: 6,084,387,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,214,261 : 2,827,753,381 = 2,827,753,381 : x
  2. Step 2: Convert to fraction form
    1,314,214,261/2,827,753,381 = 2,827,753,381/x
  3. Step 3: Cross multiply
    1,314,214,261x = 2,827,753,381 × 2,827,753,381
  4. Step 4: Simplify right side
    1,314,214,261x = 7,996,189,183,756,931,072
  5. Step 5: Solve for x
    x = 7,996,189,183,756,931,072/1,314,214,261
  6. Step 6: Final answer
    x = 6,084,387,775.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.