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Finding the Third Proportional to 237,774,872 and 482,235,432

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Solution

The third proportional to 237,774,872 and 482,235,432 is: 978,030,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774,872 : 482,235,432 = 482,235,432 : x
  2. Step 2: Convert to fraction form
    237,774,872/482,235,432 = 482,235,432/x
  3. Step 3: Cross multiply
    237,774,872x = 482,235,432 × 482,235,432
  4. Step 4: Simplify right side
    237,774,872x = 232,551,011,876,226,624
  5. Step 5: Solve for x
    x = 232,551,011,876,226,624/237,774,872
  6. Step 6: Final answer
    x = 978,030,226.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.