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Finding the Third Proportional to 3,648,145.50 and 8,444,587.50

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Solution

The third proportional to 3,648,145.50 and 8,444,587.50 is: 19,547,207.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,145.50 : 8,444,587.50 = 8,444,587.50 : x
  2. Step 2: Convert to fraction form
    3,648,145.50/8,444,587.50 = 8,444,587.50/x
  3. Step 3: Cross multiply
    3,648,145.50x = 8,444,587.50 × 8,444,587.50
  4. Step 4: Simplify right side
    3,648,145.50x = 71,311,058,045,156.25
  5. Step 5: Solve for x
    x = 71,311,058,045,156.25/3,648,145.50
  6. Step 6: Final answer
    x = 19,547,207.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.