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Finding the Third Proportional to 8,463,609 and 19,976,098.50

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Solution

The third proportional to 8,463,609 and 19,976,098.50 is: 47,148,268.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463,609 : 19,976,098.50 = 19,976,098.50 : x
  2. Step 2: Convert to fraction form
    8,463,609/19,976,098.50 = 19,976,098.50/x
  3. Step 3: Cross multiply
    8,463,609x = 19,976,098.50 × 19,976,098.50
  4. Step 4: Simplify right side
    8,463,609x = 399,044,511,281,702.25
  5. Step 5: Solve for x
    x = 399,044,511,281,702.25/8,463,609
  6. Step 6: Final answer
    x = 47,148,268.70

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.