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Finding the Third Proportional to 265,297,134 and 570,905,052

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Solution

The third proportional to 265,297,134 and 570,905,052 is: 1,228,556,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297,134 : 570,905,052 = 570,905,052 : x
  2. Step 2: Convert to fraction form
    265,297,134/570,905,052 = 570,905,052/x
  3. Step 3: Cross multiply
    265,297,134x = 570,905,052 × 570,905,052
  4. Step 4: Simplify right side
    265,297,134x = 325,932,578,399,122,688
  5. Step 5: Solve for x
    x = 325,932,578,399,122,688/265,297,134
  6. Step 6: Final answer
    x = 1,228,556,726.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.