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Finding the Third Proportional to 4,822,979,400 and 10,447,388,658

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Solution

The third proportional to 4,822,979,400 and 10,447,388,658 is: 22,630,809,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822,979,400 : 10,447,388,658 = 10,447,388,658 : x
  2. Step 2: Convert to fraction form
    4,822,979,400/10,447,388,658 = 10,447,388,658/x
  3. Step 3: Cross multiply
    4,822,979,400x = 10,447,388,658 × 10,447,388,658
  4. Step 4: Simplify right side
    4,822,979,400x = 109,147,929,771,307,040,768
  5. Step 5: Solve for x
    x = 109,147,929,771,307,040,768/4,822,979,400
  6. Step 6: Final answer
    x = 22,630,809,862.32

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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.