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Finding the Third Proportional to 260,457,220 and 566,201,860

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Solution

The third proportional to 260,457,220 and 566,201,860 is: 1,230,852,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,457,220 : 566,201,860 = 566,201,860 : x
  2. Step 2: Convert to fraction form
    260,457,220/566,201,860 = 566,201,860/x
  3. Step 3: Cross multiply
    260,457,220x = 566,201,860 × 566,201,860
  4. Step 4: Simplify right side
    260,457,220x = 320,584,546,267,459,584
  5. Step 5: Solve for x
    x = 320,584,546,267,459,584/260,457,220
  6. Step 6: Final answer
    x = 1,230,852,983.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.