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Finding the Third Proportional to 261,742,368 and 567,106,104

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Solution

The third proportional to 261,742,368 and 567,106,104 is: 1,228,724,778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,742,368 : 567,106,104 = 567,106,104 : x
  2. Step 2: Convert to fraction form
    261,742,368/567,106,104 = 567,106,104/x
  3. Step 3: Cross multiply
    261,742,368x = 567,106,104 × 567,106,104
  4. Step 4: Simplify right side
    261,742,368x = 321,609,333,194,058,816
  5. Step 5: Solve for x
    x = 321,609,333,194,058,816/261,742,368
  6. Step 6: Final answer
    x = 1,228,724,778.69

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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.