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Finding the Third Proportional to 34,090,965 and 51,175,813.50

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Solution

The third proportional to 34,090,965 and 51,175,813.50 is: 76,822,814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,090,965 : 51,175,813.50 = 51,175,813.50 : x
  2. Step 2: Convert to fraction form
    34,090,965/51,175,813.50 = 51,175,813.50/x
  3. Step 3: Cross multiply
    34,090,965x = 51,175,813.50 × 51,175,813.50
  4. Step 4: Simplify right side
    34,090,965x = 2,618,963,887,386,782
  5. Step 5: Solve for x
    x = 2,618,963,887,386,782/34,090,965
  6. Step 6: Final answer
    x = 76,822,814.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.