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Finding the Third Proportional to 706,015,368 and 1,539,153,224

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Solution

The third proportional to 706,015,368 and 1,539,153,224 is: 3,355,440,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,368 : 1,539,153,224 = 1,539,153,224 : x
  2. Step 2: Convert to fraction form
    706,015,368/1,539,153,224 = 1,539,153,224/x
  3. Step 3: Cross multiply
    706,015,368x = 1,539,153,224 × 1,539,153,224
  4. Step 4: Simplify right side
    706,015,368x = 2,368,992,646,949,594,112
  5. Step 5: Solve for x
    x = 2,368,992,646,949,594,112/706,015,368
  6. Step 6: Final answer
    x = 3,355,440,623.99

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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.