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Finding the Third Proportional to 4,153,808.25 and 8,971,924.50

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Solution

The third proportional to 4,153,808.25 and 8,971,924.50 is: 19,378,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153,808.25 : 8,971,924.50 = 8,971,924.50 : x
  2. Step 2: Convert to fraction form
    4,153,808.25/8,971,924.50 = 8,971,924.50/x
  3. Step 3: Cross multiply
    4,153,808.25x = 8,971,924.50 × 8,971,924.50
  4. Step 4: Simplify right side
    4,153,808.25x = 80,495,429,233,700.25
  5. Step 5: Solve for x
    x = 80,495,429,233,700.25/4,153,808.25
  6. Step 6: Final answer
    x = 19,378,706.09

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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.