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Finding the Third Proportional to 1,429,794,000 and 3,085,418,592

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Solution

The third proportional to 1,429,794,000 and 3,085,418,592 is: 6,658,167,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,794,000 : 3,085,418,592 = 3,085,418,592 : x
  2. Step 2: Convert to fraction form
    1,429,794,000/3,085,418,592 = 3,085,418,592/x
  3. Step 3: Cross multiply
    1,429,794,000x = 3,085,418,592 × 3,085,418,592
  4. Step 4: Simplify right side
    1,429,794,000x = 9,519,807,887,859,261,440
  5. Step 5: Solve for x
    x = 9,519,807,887,859,261,440/1,429,794,000
  6. Step 6: Final answer
    x = 6,658,167,461.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.