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Finding the Third Proportional to 3,977,459,500 and 5,530,340,922

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Solution

The third proportional to 3,977,459,500 and 5,530,340,922 is: 7,689,498,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,459,500 : 5,530,340,922 = 5,530,340,922 : x
  2. Step 2: Convert to fraction form
    3,977,459,500/5,530,340,922 = 5,530,340,922/x
  3. Step 3: Cross multiply
    3,977,459,500x = 5,530,340,922 × 5,530,340,922
  4. Step 4: Simplify right side
    3,977,459,500x = 30,584,670,713,547,808,768
  5. Step 5: Solve for x
    x = 30,584,670,713,547,808,768/3,977,459,500
  6. Step 6: Final answer
    x = 7,689,498,966.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.