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Finding the Third Proportional to 476,515,537.88 and 696,486,107.25

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Solution

The third proportional to 476,515,537.88 and 696,486,107.25 is: 1,018,000,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,515,537.88 : 696,486,107.25 = 696,486,107.25 : x
  2. Step 2: Convert to fraction form
    476,515,537.88/696,486,107.25 = 696,486,107.25/x
  3. Step 3: Cross multiply
    476,515,537.88x = 696,486,107.25 × 696,486,107.25
  4. Step 4: Simplify right side
    476,515,537.88x = 485,092,897,592,258,496
  5. Step 5: Solve for x
    x = 485,092,897,592,258,496/476,515,537.88
  6. Step 6: Final answer
    x = 1,018,000,167.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.