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Finding the Third Proportional to 6,633,009 and 14,063,139

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Solution

The third proportional to 6,633,009 and 14,063,139 is: 29,816,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633,009 : 14,063,139 = 14,063,139 : x
  2. Step 2: Convert to fraction form
    6,633,009/14,063,139 = 14,063,139/x
  3. Step 3: Cross multiply
    6,633,009x = 14,063,139 × 14,063,139
  4. Step 4: Simplify right side
    6,633,009x = 197,771,878,533,321
  5. Step 5: Solve for x
    x = 197,771,878,533,321/6,633,009
  6. Step 6: Final answer
    x = 29,816,313.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.