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Finding the Third Proportional to 370,233,476 and 769,164,572

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Solution

The third proportional to 370,233,476 and 769,164,572 is: 1,597,948,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,233,476 : 769,164,572 = 769,164,572 : x
  2. Step 2: Convert to fraction form
    370,233,476/769,164,572 = 769,164,572/x
  3. Step 3: Cross multiply
    370,233,476x = 769,164,572 × 769,164,572
  4. Step 4: Simplify right side
    370,233,476x = 591,614,138,819,943,168
  5. Step 5: Solve for x
    x = 591,614,138,819,943,168/370,233,476
  6. Step 6: Final answer
    x = 1,597,948,800.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.