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Finding the Third Proportional to 265,029,669 and 566,905,911.75

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Solution

The third proportional to 265,029,669 and 566,905,911.75 is: 1,212,627,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,029,669 : 566,905,911.75 = 566,905,911.75 : x
  2. Step 2: Convert to fraction form
    265,029,669/566,905,911.75 = 566,905,911.75/x
  3. Step 3: Cross multiply
    265,029,669x = 566,905,911.75 × 566,905,911.75
  4. Step 4: Simplify right side
    265,029,669x = 321,382,312,777,098,816
  5. Step 5: Solve for x
    x = 321,382,312,777,098,816/265,029,669
  6. Step 6: Final answer
    x = 1,212,627,680.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.