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Finding the Third Proportional to 539,765,649 and 829,290,262.50

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Solution

The third proportional to 539,765,649 and 829,290,262.50 is: 1,274,112,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,765,649 : 829,290,262.50 = 829,290,262.50 : x
  2. Step 2: Convert to fraction form
    539,765,649/829,290,262.50 = 829,290,262.50/x
  3. Step 3: Cross multiply
    539,765,649x = 829,290,262.50 × 829,290,262.50
  4. Step 4: Simplify right side
    539,765,649x = 687,722,339,477,318,912
  5. Step 5: Solve for x
    x = 687,722,339,477,318,912/539,765,649
  6. Step 6: Final answer
    x = 1,274,112,831.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.