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Finding the Third Proportional to 706,015,370 and 1,539,153,228

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Solution

The third proportional to 706,015,370 and 1,539,153,228 is: 3,355,440,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,370 : 1,539,153,228 = 1,539,153,228 : x
  2. Step 2: Convert to fraction form
    706,015,370/1,539,153,228 = 1,539,153,228/x
  3. Step 3: Cross multiply
    706,015,370x = 1,539,153,228 × 1,539,153,228
  4. Step 4: Simplify right side
    706,015,370x = 2,368,992,659,262,819,840
  5. Step 5: Solve for x
    x = 2,368,992,659,262,819,840/706,015,370
  6. Step 6: Final answer
    x = 3,355,440,631.93

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