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Finding the Third Proportional to 9,046,719 and 13,990,198.50

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Solution

The third proportional to 9,046,719 and 13,990,198.50 is: 21,634,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046,719 : 13,990,198.50 = 13,990,198.50 : x
  2. Step 2: Convert to fraction form
    9,046,719/13,990,198.50 = 13,990,198.50/x
  3. Step 3: Cross multiply
    9,046,719x = 13,990,198.50 × 13,990,198.50
  4. Step 4: Simplify right side
    9,046,719x = 195,725,654,069,402.25
  5. Step 5: Solve for x
    x = 195,725,654,069,402.25/9,046,719
  6. Step 6: Final answer
    x = 21,634,987.68

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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.