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Finding the Third Proportional to 245,179,964 and 533,406,376

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Solution

The third proportional to 245,179,964 and 533,406,376 is: 1,160,463,348.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,179,964 : 533,406,376 = 533,406,376 : x
  2. Step 2: Convert to fraction form
    245,179,964/533,406,376 = 533,406,376/x
  3. Step 3: Cross multiply
    245,179,964x = 533,406,376 × 533,406,376
  4. Step 4: Simplify right side
    245,179,964x = 284,522,361,957,453,376
  5. Step 5: Solve for x
    x = 284,522,361,957,453,376/245,179,964
  6. Step 6: Final answer
    x = 1,160,463,348.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.