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Finding the Third Proportional to 4,016,290.50 and 8,829,742.50

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Solution

The third proportional to 4,016,290.50 and 8,829,742.50 is: 19,412,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016,290.50 : 8,829,742.50 = 8,829,742.50 : x
  2. Step 2: Convert to fraction form
    4,016,290.50/8,829,742.50 = 8,829,742.50/x
  3. Step 3: Cross multiply
    4,016,290.50x = 8,829,742.50 × 8,829,742.50
  4. Step 4: Simplify right side
    4,016,290.50x = 77,964,352,616,306.25
  5. Step 5: Solve for x
    x = 77,964,352,616,306.25/4,016,290.50
  6. Step 6: Final answer
    x = 19,412,030.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.