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Finding the Third Proportional to 1,607,659,758 and 3,482,462,814

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Solution

The third proportional to 1,607,659,758 and 3,482,462,814 is: 7,543,603,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,659,758 : 3,482,462,814 = 3,482,462,814 : x
  2. Step 2: Convert to fraction form
    1,607,659,758/3,482,462,814 = 3,482,462,814/x
  3. Step 3: Cross multiply
    1,607,659,758x = 3,482,462,814 × 3,482,462,814
  4. Step 4: Simplify right side
    1,607,659,758x = 12,127,547,250,892,797,952
  5. Step 5: Solve for x
    x = 12,127,547,250,892,797,952/1,607,659,758
  6. Step 6: Final answer
    x = 7,543,603,172.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.