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Finding the Third Proportional to 10,094,797.13 and 22,016,627.72

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Solution

The third proportional to 10,094,797.13 and 22,016,627.72 is: 48,017,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094,797.13 : 22,016,627.72 = 22,016,627.72 : x
  2. Step 2: Convert to fraction form
    10,094,797.13/22,016,627.72 = 22,016,627.72/x
  3. Step 3: Cross multiply
    10,094,797.13x = 22,016,627.72 × 22,016,627.72
  4. Step 4: Simplify right side
    10,094,797.13x = 484,731,896,106,030.81
  5. Step 5: Solve for x
    x = 484,731,896,106,030.81/10,094,797.13
  6. Step 6: Final answer
    x = 48,017,992.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.