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Finding the Third Proportional to 765,618,051 and 1,679,449,254

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Solution

The third proportional to 765,618,051 and 1,679,449,254 is: 3,684,016,845.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    765,618,051 : 1,679,449,254 = 1,679,449,254 : x
  2. Step 2: Convert to fraction form
    765,618,051/1,679,449,254 = 1,679,449,254/x
  3. Step 3: Cross multiply
    765,618,051x = 1,679,449,254 × 1,679,449,254
  4. Step 4: Simplify right side
    765,618,051x = 2,820,549,796,761,156,608
  5. Step 5: Solve for x
    x = 2,820,549,796,761,156,608/765,618,051
  6. Step 6: Final answer
    x = 3,684,016,845.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.