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Finding the Third Proportional to 1,314,214,259 and 2,827,753,378

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Solution

The third proportional to 1,314,214,259 and 2,827,753,378 is: 6,084,387,771.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314,214,259 : 2,827,753,378 = 2,827,753,378 : x
  2. Step 2: Convert to fraction form
    1,314,214,259/2,827,753,378 = 2,827,753,378/x
  3. Step 3: Cross multiply
    1,314,214,259x = 2,827,753,378 × 2,827,753,378
  4. Step 4: Simplify right side
    1,314,214,259x = 7,996,189,166,790,411,264
  5. Step 5: Solve for x
    x = 7,996,189,166,790,411,264/1,314,214,259
  6. Step 6: Final answer
    x = 6,084,387,771.65

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