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Finding the Third Proportional to 6,553,843.31 and 9,830,763.28

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Solution

The third proportional to 6,553,843.31 and 9,830,763.28 is: 14,746,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553,843.31 : 9,830,763.28 = 9,830,763.28 : x
  2. Step 2: Convert to fraction form
    6,553,843.31/9,830,763.28 = 9,830,763.28/x
  3. Step 3: Cross multiply
    6,553,843.31x = 9,830,763.28 × 9,830,763.28
  4. Step 4: Simplify right side
    6,553,843.31x = 96,643,906,691,973.27
  5. Step 5: Solve for x
    x = 96,643,906,691,973.27/6,553,843.31
  6. Step 6: Final answer
    x = 14,746,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.