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Finding the Third Proportional to 7,968,598.40 and 16,894,822.08

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Solution

The third proportional to 7,968,598.40 and 16,894,822.08 is: 35,819,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968,598.40 : 16,894,822.08 = 16,894,822.08 : x
  2. Step 2: Convert to fraction form
    7,968,598.40/16,894,822.08 = 16,894,822.08/x
  3. Step 3: Cross multiply
    7,968,598.40x = 16,894,822.08 × 16,894,822.08
  4. Step 4: Simplify right side
    7,968,598.40x = 285,435,013,070,050.44
  5. Step 5: Solve for x
    x = 285,435,013,070,050.44/7,968,598.40
  6. Step 6: Final answer
    x = 35,819,977.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.