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Finding the Third Proportional to 752,740,506 and 1,630,563,180

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Solution

The third proportional to 752,740,506 and 1,630,563,180 is: 3,532,075,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,740,506 : 1,630,563,180 = 1,630,563,180 : x
  2. Step 2: Convert to fraction form
    752,740,506/1,630,563,180 = 1,630,563,180/x
  3. Step 3: Cross multiply
    752,740,506x = 1,630,563,180 × 1,630,563,180
  4. Step 4: Simplify right side
    752,740,506x = 2,658,736,283,971,712,512
  5. Step 5: Solve for x
    x = 2,658,736,283,971,712,512/752,740,506
  6. Step 6: Final answer
    x = 3,532,075,479.90

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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.