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Finding the Third Proportional to 9,708,216 and 15,073,857

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Solution

The third proportional to 9,708,216 and 15,073,857 is: 23,405,038.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708,216 : 15,073,857 = 15,073,857 : x
  2. Step 2: Convert to fraction form
    9,708,216/15,073,857 = 15,073,857/x
  3. Step 3: Cross multiply
    9,708,216x = 15,073,857 × 15,073,857
  4. Step 4: Simplify right side
    9,708,216x = 227,221,164,856,449
  5. Step 5: Solve for x
    x = 227,221,164,856,449/9,708,216
  6. Step 6: Final answer
    x = 23,405,038.05

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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.