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Finding the Third Proportional to 697,359,477 and 1,530,750,882

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Solution

The third proportional to 697,359,477 and 1,530,750,882 is: 3,360,100,980.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,359,477 : 1,530,750,882 = 1,530,750,882 : x
  2. Step 2: Convert to fraction form
    697,359,477/1,530,750,882 = 1,530,750,882/x
  3. Step 3: Cross multiply
    697,359,477x = 1,530,750,882 × 1,530,750,882
  4. Step 4: Simplify right side
    697,359,477x = 2,343,198,262,743,777,792
  5. Step 5: Solve for x
    x = 2,343,198,262,743,777,792/697,359,477
  6. Step 6: Final answer
    x = 3,360,100,980.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.