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Finding the Third Proportional to 265,297,136 and 570,905,056

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Solution

The third proportional to 265,297,136 and 570,905,056 is: 1,228,556,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297,136 : 570,905,056 = 570,905,056 : x
  2. Step 2: Convert to fraction form
    265,297,136/570,905,056 = 570,905,056/x
  3. Step 3: Cross multiply
    265,297,136x = 570,905,056 × 570,905,056
  4. Step 4: Simplify right side
    265,297,136x = 325,932,582,966,363,136
  5. Step 5: Solve for x
    x = 325,932,582,966,363,136/265,297,136
  6. Step 6: Final answer
    x = 1,228,556,734.09

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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.