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Finding the Third Proportional to 6,518,775 and 9,308,362.50

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Solution

The third proportional to 6,518,775 and 9,308,362.50 is: 13,291,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518,775 : 9,308,362.50 = 9,308,362.50 : x
  2. Step 2: Convert to fraction form
    6,518,775/9,308,362.50 = 9,308,362.50/x
  3. Step 3: Cross multiply
    6,518,775x = 9,308,362.50 × 9,308,362.50
  4. Step 4: Simplify right side
    6,518,775x = 86,645,612,431,406.25
  5. Step 5: Solve for x
    x = 86,645,612,431,406.25/6,518,775
  6. Step 6: Final answer
    x = 13,291,701.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.