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Finding the Third Proportional to 293,360,824 and 621,697,110

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Solution

The third proportional to 293,360,824 and 621,697,110 is: 1,317,515,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,360,824 : 621,697,110 = 621,697,110 : x
  2. Step 2: Convert to fraction form
    293,360,824/621,697,110 = 621,697,110/x
  3. Step 3: Cross multiply
    293,360,824x = 621,697,110 × 621,697,110
  4. Step 4: Simplify right side
    293,360,824x = 386,507,296,582,352,128
  5. Step 5: Solve for x
    x = 386,507,296,582,352,128/293,360,824
  6. Step 6: Final answer
    x = 1,317,515,035.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.