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Finding the Third Proportional to 752,740,510 and 1,630,563,188

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Solution

The third proportional to 752,740,510 and 1,630,563,188 is: 3,532,075,495.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,740,510 : 1,630,563,188 = 1,630,563,188 : x
  2. Step 2: Convert to fraction form
    752,740,510/1,630,563,188 = 1,630,563,188/x
  3. Step 3: Cross multiply
    752,740,510x = 1,630,563,188 × 1,630,563,188
  4. Step 4: Simplify right side
    752,740,510x = 2,658,736,310,060,723,200
  5. Step 5: Solve for x
    x = 2,658,736,310,060,723,200/752,740,510
  6. Step 6: Final answer
    x = 3,532,075,495.79

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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.