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Finding the Third Proportional to 7,714,017 and 16,588,966.50

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Solution

The third proportional to 7,714,017 and 16,588,966.50 is: 35,674,514.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714,017 : 16,588,966.50 = 16,588,966.50 : x
  2. Step 2: Convert to fraction form
    7,714,017/16,588,966.50 = 16,588,966.50/x
  3. Step 3: Cross multiply
    7,714,017x = 16,588,966.50 × 16,588,966.50
  4. Step 4: Simplify right side
    7,714,017x = 275,193,809,538,122.25
  5. Step 5: Solve for x
    x = 275,193,809,538,122.25/7,714,017
  6. Step 6: Final answer
    x = 35,674,514.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.