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Finding the Third Proportional to 6,326,838 and 9,578,983.50

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Solution

The third proportional to 6,326,838 and 9,578,983.50 is: 14,502,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,838 : 9,578,983.50 = 9,578,983.50 : x
  2. Step 2: Convert to fraction form
    6,326,838/9,578,983.50 = 9,578,983.50/x
  3. Step 3: Cross multiply
    6,326,838x = 9,578,983.50 × 9,578,983.50
  4. Step 4: Simplify right side
    6,326,838x = 91,756,924,893,272.25
  5. Step 5: Solve for x
    x = 91,756,924,893,272.25/6,326,838
  6. Step 6: Final answer
    x = 14,502,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.