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Finding the Third Proportional to 5,330,653.88 and 7,796,057.63

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Solution

The third proportional to 5,330,653.88 and 7,796,057.63 is: 11,401,699.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,653.88 : 7,796,057.63 = 7,796,057.63 : x
  2. Step 2: Convert to fraction form
    5,330,653.88/7,796,057.63 = 7,796,057.63/x
  3. Step 3: Cross multiply
    5,330,653.88x = 7,796,057.63 × 7,796,057.63
  4. Step 4: Simplify right side
    5,330,653.88x = 60,778,514,492,320.64
  5. Step 5: Solve for x
    x = 60,778,514,492,320.64/5,330,653.88
  6. Step 6: Final answer
    x = 11,401,699.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.