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Finding the Third Proportional to 7,649,510.91 and 16,580,467.13

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Solution

The third proportional to 7,649,510.91 and 16,580,467.13 is: 35,938,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,510.91 : 16,580,467.13 = 16,580,467.13 : x
  2. Step 2: Convert to fraction form
    7,649,510.91/16,580,467.13 = 16,580,467.13/x
  3. Step 3: Cross multiply
    7,649,510.91x = 16,580,467.13 × 16,580,467.13
  4. Step 4: Simplify right side
    7,649,510.91x = 274,911,890,083,205.75
  5. Step 5: Solve for x
    x = 274,911,890,083,205.75/7,649,510.91
  6. Step 6: Final answer
    x = 35,938,492.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.