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Finding the Third Proportional to 5,477,151.75 and 8,514,415.13

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Solution

The third proportional to 5,477,151.75 and 8,514,415.13 is: 13,235,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477,151.75 : 8,514,415.13 = 8,514,415.13 : x
  2. Step 2: Convert to fraction form
    5,477,151.75/8,514,415.13 = 8,514,415.13/x
  3. Step 3: Cross multiply
    5,477,151.75x = 8,514,415.13 × 8,514,415.13
  4. Step 4: Simplify right side
    5,477,151.75x = 72,495,264,920,828.77
  5. Step 5: Solve for x
    x = 72,495,264,920,828.77/5,477,151.75
  6. Step 6: Final answer
    x = 13,235,942.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.