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Finding the Third Proportional to 1,559,661,712 and 3,425,451,008

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Solution

The third proportional to 1,559,661,712 and 3,425,451,008 is: 7,523,243,353.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,661,712 : 3,425,451,008 = 3,425,451,008 : x
  2. Step 2: Convert to fraction form
    1,559,661,712/3,425,451,008 = 3,425,451,008/x
  3. Step 3: Cross multiply
    1,559,661,712x = 3,425,451,008 × 3,425,451,008
  4. Step 4: Simplify right side
    1,559,661,712x = 11,733,714,608,208,216,064
  5. Step 5: Solve for x
    x = 11,733,714,608,208,216,064/1,559,661,712
  6. Step 6: Final answer
    x = 7,523,243,353.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.