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Finding the Third Proportional to 262,652,544 and 570,164,544

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Solution

The third proportional to 262,652,544 and 570,164,544 is: 1,237,709,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,652,544 : 570,164,544 = 570,164,544 : x
  2. Step 2: Convert to fraction form
    262,652,544/570,164,544 = 570,164,544/x
  3. Step 3: Cross multiply
    262,652,544x = 570,164,544 × 570,164,544
  4. Step 4: Simplify right side
    262,652,544x = 325,087,607,234,727,936
  5. Step 5: Solve for x
    x = 325,087,607,234,727,936/262,652,544
  6. Step 6: Final answer
    x = 1,237,709,722.07

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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.