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Finding the Third Proportional to 9,046,712 and 13,990,188

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Solution

The third proportional to 9,046,712 and 13,990,188 is: 21,634,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046,712 : 13,990,188 = 13,990,188 : x
  2. Step 2: Convert to fraction form
    9,046,712/13,990,188 = 13,990,188/x
  3. Step 3: Cross multiply
    9,046,712x = 13,990,188 × 13,990,188
  4. Step 4: Simplify right side
    9,046,712x = 195,725,360,275,344
  5. Step 5: Solve for x
    x = 195,725,360,275,344/9,046,712
  6. Step 6: Final answer
    x = 21,634,971.94

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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.