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Finding the Third Proportional to 7,649,547.75 and 16,644,910.50

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Solution

The third proportional to 7,649,547.75 and 16,644,910.50 is: 36,218,225.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649,547.75 : 16,644,910.50 = 16,644,910.50 : x
  2. Step 2: Convert to fraction form
    7,649,547.75/16,644,910.50 = 16,644,910.50/x
  3. Step 3: Cross multiply
    7,649,547.75x = 16,644,910.50 × 16,644,910.50
  4. Step 4: Simplify right side
    7,649,547.75x = 277,053,045,553,010.25
  5. Step 5: Solve for x
    x = 277,053,045,553,010.25/7,649,547.75
  6. Step 6: Final answer
    x = 36,218,225.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.