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Finding the Third Proportional to 293,767,722.75 and 444,429,829.13

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Solution

The third proportional to 293,767,722.75 and 444,429,829.13 is: 672,360,704.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,767,722.75 : 444,429,829.13 = 444,429,829.13 : x
  2. Step 2: Convert to fraction form
    293,767,722.75/444,429,829.13 = 444,429,829.13/x
  3. Step 3: Cross multiply
    293,767,722.75x = 444,429,829.13 × 444,429,829.13
  4. Step 4: Simplify right side
    293,767,722.75x = 197,517,873,016,076,704
  5. Step 5: Solve for x
    x = 197,517,873,016,076,704/293,767,722.75
  6. Step 6: Final answer
    x = 672,360,704.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.