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Finding the Third Proportional to 5,108,969 and 8,514,605.50

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Solution

The third proportional to 5,108,969 and 8,514,605.50 is: 14,190,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,969 : 8,514,605.50 = 8,514,605.50 : x
  2. Step 2: Convert to fraction form
    5,108,969/8,514,605.50 = 8,514,605.50/x
  3. Step 3: Cross multiply
    5,108,969x = 8,514,605.50 × 8,514,605.50
  4. Step 4: Simplify right side
    5,108,969x = 72,498,506,820,630.25
  5. Step 5: Solve for x
    x = 72,498,506,820,630.25/5,108,969
  6. Step 6: Final answer
    x = 14,190,437.80

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.