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Finding the Third Proportional to 539,765,647.50 and 829,290,261

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Solution

The third proportional to 539,765,647.50 and 829,290,261 is: 1,274,112,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,765,647.50 : 829,290,261 = 829,290,261 : x
  2. Step 2: Convert to fraction form
    539,765,647.50/829,290,261 = 829,290,261/x
  3. Step 3: Cross multiply
    539,765,647.50x = 829,290,261 × 829,290,261
  4. Step 4: Simplify right side
    539,765,647.50x = 687,722,336,989,448,064
  5. Step 5: Solve for x
    x = 687,722,336,989,448,064/539,765,647.50
  6. Step 6: Final answer
    x = 1,274,112,830.59

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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.