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Finding the Third Proportional to 3,207,652.31 and 6,642,669.94

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Solution

The third proportional to 3,207,652.31 and 6,642,669.94 is: 13,756,186.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207,652.31 : 6,642,669.94 = 6,642,669.94 : x
  2. Step 2: Convert to fraction form
    3,207,652.31/6,642,669.94 = 6,642,669.94/x
  3. Step 3: Cross multiply
    3,207,652.31x = 6,642,669.94 × 6,642,669.94
  4. Step 4: Simplify right side
    3,207,652.31x = 44,125,063,898,566.25
  5. Step 5: Solve for x
    x = 44,125,063,898,566.25/3,207,652.31
  6. Step 6: Final answer
    x = 13,756,186.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.