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Finding the Third Proportional to 706,015,373 and 1,539,153,235

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Solution

The third proportional to 706,015,373 and 1,539,153,235 is: 3,355,440,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,373 : 1,539,153,235 = 1,539,153,235 : x
  2. Step 2: Convert to fraction form
    706,015,373/1,539,153,235 = 1,539,153,235/x
  3. Step 3: Cross multiply
    706,015,373x = 1,539,153,235 × 1,539,153,235
  4. Step 4: Simplify right side
    706,015,373x = 2,368,992,680,810,964,992
  5. Step 5: Solve for x
    x = 2,368,992,680,810,964,992/706,015,373
  6. Step 6: Final answer
    x = 3,355,440,648.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.