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Finding the Third Proportional to 789,570,852.75 and 1,710,803,120.63

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Solution

The third proportional to 789,570,852.75 and 1,710,803,120.63 is: 3,706,883,691.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,570,852.75 : 1,710,803,120.63 = 1,710,803,120.63 : x
  2. Step 2: Convert to fraction form
    789,570,852.75/1,710,803,120.63 = 1,710,803,120.63/x
  3. Step 3: Cross multiply
    789,570,852.75x = 1,710,803,120.63 × 1,710,803,120.63
  4. Step 4: Simplify right side
    789,570,852.75x = 2,926,847,317,540,238,336
  5. Step 5: Solve for x
    x = 2,926,847,317,540,238,336/789,570,852.75
  6. Step 6: Final answer
    x = 3,706,883,691.75

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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.