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Finding the Third Proportional to 2,271,925.13 and 4,863,056.06

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Solution

The third proportional to 2,271,925.13 and 4,863,056.06 is: 10,409,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271,925.13 : 4,863,056.06 = 4,863,056.06 : x
  2. Step 2: Convert to fraction form
    2,271,925.13/4,863,056.06 = 4,863,056.06/x
  3. Step 3: Cross multiply
    2,271,925.13x = 4,863,056.06 × 4,863,056.06
  4. Step 4: Simplify right side
    2,271,925.13x = 23,649,314,267,018.00
  5. Step 5: Solve for x
    x = 23,649,314,267,018.00/2,271,925.13
  6. Step 6: Final answer
    x = 10,409,372.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.