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Finding the Third Proportional to 305,582,015 and 661,929,952

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Solution

The third proportional to 305,582,015 and 661,929,952 is: 1,433,825,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,582,015 : 661,929,952 = 661,929,952 : x
  2. Step 2: Convert to fraction form
    305,582,015/661,929,952 = 661,929,952/x
  3. Step 3: Cross multiply
    305,582,015x = 661,929,952 × 661,929,952
  4. Step 4: Simplify right side
    305,582,015x = 438,151,261,354,722,304
  5. Step 5: Solve for x
    x = 438,151,261,354,722,304/305,582,015
  6. Step 6: Final answer
    x = 1,433,825,421.15

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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.