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Finding the Third Proportional to 261,742,836 and 567,106,932

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Solution

The third proportional to 261,742,836 and 567,106,932 is: 1,228,726,169.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,742,836 : 567,106,932 = 567,106,932 : x
  2. Step 2: Convert to fraction form
    261,742,836/567,106,932 = 567,106,932/x
  3. Step 3: Cross multiply
    261,742,836x = 567,106,932 × 567,106,932
  4. Step 4: Simplify right side
    261,742,836x = 321,610,272,322,452,608
  5. Step 5: Solve for x
    x = 321,610,272,322,452,608/261,742,836
  6. Step 6: Final answer
    x = 1,228,726,169.69

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Why These Related Problems?

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