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Finding the Third Proportional to 1,750,679,741 and 3,780,883,298

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Solution

The third proportional to 1,750,679,741 and 3,780,883,298 is: 8,165,444,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750,679,741 : 3,780,883,298 = 3,780,883,298 : x
  2. Step 2: Convert to fraction form
    1,750,679,741/3,780,883,298 = 3,780,883,298/x
  3. Step 3: Cross multiply
    1,750,679,741x = 3,780,883,298 × 3,780,883,298
  4. Step 4: Simplify right side
    1,750,679,741x = 14,295,078,513,095,356,416
  5. Step 5: Solve for x
    x = 14,295,078,513,095,356,416/1,750,679,741
  6. Step 6: Final answer
    x = 8,165,444,643.19

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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.