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Finding the Third Proportional to 3,185,588,658 and 4,429,306,395.75

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Solution

The third proportional to 3,185,588,658 and 4,429,306,395.75 is: 6,158,596,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185,588,658 : 4,429,306,395.75 = 4,429,306,395.75 : x
  2. Step 2: Convert to fraction form
    3,185,588,658/4,429,306,395.75 = 4,429,306,395.75/x
  3. Step 3: Cross multiply
    3,185,588,658x = 4,429,306,395.75 × 4,429,306,395.75
  4. Step 4: Simplify right side
    3,185,588,658x = 19,618,755,147,431,854,080
  5. Step 5: Solve for x
    x = 19,618,755,147,431,854,080/3,185,588,658
  6. Step 6: Final answer
    x = 6,158,596,496.18

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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.