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Finding the Third Proportional to 261,742,347 and 567,106,049.25

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Solution

The third proportional to 261,742,347 and 567,106,049.25 is: 1,228,724,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,742,347 : 567,106,049.25 = 567,106,049.25 : x
  2. Step 2: Convert to fraction form
    261,742,347/567,106,049.25 = 567,106,049.25/x
  3. Step 3: Cross multiply
    261,742,347x = 567,106,049.25 × 567,106,049.25
  4. Step 4: Simplify right side
    261,742,347x = 321,609,271,095,943,424
  5. Step 5: Solve for x
    x = 321,609,271,095,943,424/261,742,347
  6. Step 6: Final answer
    x = 1,228,724,640.02

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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.