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Finding the Third Proportional to 1,759,776,714 and 3,822,225,885

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Solution

The third proportional to 1,759,776,714 and 3,822,225,885 is: 8,301,854,774.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759,776,714 : 3,822,225,885 = 3,822,225,885 : x
  2. Step 2: Convert to fraction form
    1,759,776,714/3,822,225,885 = 3,822,225,885/x
  3. Step 3: Cross multiply
    1,759,776,714x = 3,822,225,885 × 3,822,225,885
  4. Step 4: Simplify right side
    1,759,776,714x = 14,609,410,715,964,033,024
  5. Step 5: Solve for x
    x = 14,609,410,715,964,033,024/1,759,776,714
  6. Step 6: Final answer
    x = 8,301,854,774.95

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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.