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Finding the Third Proportional to 460,154,022 and 647,237,367

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Solution

The third proportional to 460,154,022 and 647,237,367 is: 910,382,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,154,022 : 647,237,367 = 647,237,367 : x
  2. Step 2: Convert to fraction form
    460,154,022/647,237,367 = 647,237,367/x
  3. Step 3: Cross multiply
    460,154,022x = 647,237,367 × 647,237,367
  4. Step 4: Simplify right side
    460,154,022x = 418,916,209,241,092,672
  5. Step 5: Solve for x
    x = 418,916,209,241,092,672/460,154,022
  6. Step 6: Final answer
    x = 910,382,587.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.