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Finding the Third Proportional to 3,185,588,671 and 4,429,306,416

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Solution

The third proportional to 3,185,588,671 and 4,429,306,416 is: 6,158,596,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,588,671 : 4,429,306,416 = 4,429,306,416 : x
  2. Step 2: Convert to fraction form
    3,185,588,671/4,429,306,416 = 4,429,306,416/x
  3. Step 3: Cross multiply
    3,185,588,671x = 4,429,306,416 × 4,429,306,416
  4. Step 4: Simplify right side
    3,185,588,671x = 19,618,755,326,818,766,848
  5. Step 5: Solve for x
    x = 19,618,755,326,818,766,848/3,185,588,671
  6. Step 6: Final answer
    x = 6,158,596,527.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.