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Finding the Third Proportional to 377,684,624 and 812,764,868

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Solution

The third proportional to 377,684,624 and 812,764,868 is: 1,749,043,219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,684,624 : 812,764,868 = 812,764,868 : x
  2. Step 2: Convert to fraction form
    377,684,624/812,764,868 = 812,764,868/x
  3. Step 3: Cross multiply
    377,684,624x = 812,764,868 × 812,764,868
  4. Step 4: Simplify right side
    377,684,624x = 660,586,730,655,057,408
  5. Step 5: Solve for x
    x = 660,586,730,655,057,408/377,684,624
  6. Step 6: Final answer
    x = 1,749,043,219.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.