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Finding the Third Proportional to 909,753,484 and 1,964,764,556

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Solution

The third proportional to 909,753,484 and 1,964,764,556 is: 4,243,237,127.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,753,484 : 1,964,764,556 = 1,964,764,556 : x
  2. Step 2: Convert to fraction form
    909,753,484/1,964,764,556 = 1,964,764,556/x
  3. Step 3: Cross multiply
    909,753,484x = 1,964,764,556 × 1,964,764,556
  4. Step 4: Simplify right side
    909,753,484x = 3,860,299,760,513,876,992
  5. Step 5: Solve for x
    x = 3,860,299,760,513,876,992/909,753,484
  6. Step 6: Final answer
    x = 4,243,237,127.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.