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Finding the Third Proportional to 419,872,454 and 916,153,836

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Solution

The third proportional to 419,872,454 and 916,153,836 is: 1,999,030,522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,872,454 : 916,153,836 = 916,153,836 : x
  2. Step 2: Convert to fraction form
    419,872,454/916,153,836 = 916,153,836/x
  3. Step 3: Cross multiply
    419,872,454x = 916,153,836 × 916,153,836
  4. Step 4: Simplify right side
    419,872,454x = 839,337,851,217,514,880
  5. Step 5: Solve for x
    x = 839,337,851,217,514,880/419,872,454
  6. Step 6: Final answer
    x = 1,999,030,522.77

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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.