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Finding the Third Proportional to 9,645,086 and 13,485,261

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Solution

The third proportional to 9,645,086 and 13,485,261 is: 18,854,395.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645,086 : 13,485,261 = 13,485,261 : x
  2. Step 2: Convert to fraction form
    9,645,086/13,485,261 = 13,485,261/x
  3. Step 3: Cross multiply
    9,645,086x = 13,485,261 × 13,485,261
  4. Step 4: Simplify right side
    9,645,086x = 181,852,264,238,121
  5. Step 5: Solve for x
    x = 181,852,264,238,121/9,645,086
  6. Step 6: Final answer
    x = 18,854,395.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.