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Finding the Third Proportional to 6,221,061.83 and 9,659,130.24

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Solution

The third proportional to 6,221,061.83 and 9,659,130.24 is: 14,997,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221,061.83 : 9,659,130.24 = 9,659,130.24 : x
  2. Step 2: Convert to fraction form
    6,221,061.83/9,659,130.24 = 9,659,130.24/x
  3. Step 3: Cross multiply
    6,221,061.83x = 9,659,130.24 × 9,659,130.24
  4. Step 4: Simplify right side
    6,221,061.83x = 93,298,796,997,802.94
  5. Step 5: Solve for x
    x = 93,298,796,997,802.94/6,221,061.83
  6. Step 6: Final answer
    x = 14,997,246.39

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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.