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Finding the Third Proportional to 10,281,816 and 22,170,410.02

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Solution

The third proportional to 10,281,816 and 22,170,410.02 is: 47,805,473.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,816 : 22,170,410.02 = 22,170,410.02 : x
  2. Step 2: Convert to fraction form
    10,281,816/22,170,410.02 = 22,170,410.02/x
  3. Step 3: Cross multiply
    10,281,816x = 22,170,410.02 × 22,170,410.02
  4. Step 4: Simplify right side
    10,281,816x = 491,527,080,260,925.31
  5. Step 5: Solve for x
    x = 491,527,080,260,925.31/10,281,816
  6. Step 6: Final answer
    x = 47,805,473.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.