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Finding the Third Proportional to 1,680,275,119 and 2,427,498,369

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Solution

The third proportional to 1,680,275,119 and 2,427,498,369 is: 3,507,013,979.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680,275,119 : 2,427,498,369 = 2,427,498,369 : x
  2. Step 2: Convert to fraction form
    1,680,275,119/2,427,498,369 = 2,427,498,369/x
  3. Step 3: Cross multiply
    1,680,275,119x = 2,427,498,369 × 2,427,498,369
  4. Step 4: Simplify right side
    1,680,275,119x = 5,892,748,331,497,660,416
  5. Step 5: Solve for x
    x = 5,892,748,331,497,660,416/1,680,275,119
  6. Step 6: Final answer
    x = 3,507,013,979.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.