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Finding the Third Proportional to 706,015,407 and 1,539,153,300

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Solution

The third proportional to 706,015,407 and 1,539,153,300 is: 3,355,440,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,015,407 : 1,539,153,300 = 1,539,153,300 : x
  2. Step 2: Convert to fraction form
    706,015,407/1,539,153,300 = 1,539,153,300/x
  3. Step 3: Cross multiply
    706,015,407x = 1,539,153,300 × 1,539,153,300
  4. Step 4: Simplify right side
    706,015,407x = 2,368,992,880,900,890,112
  5. Step 5: Solve for x
    x = 2,368,992,880,900,890,112/706,015,407
  6. Step 6: Final answer
    x = 3,355,440,770.01

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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.