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Finding the Third Proportional to 16,578,434.81 and 35,676,293.06

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Solution

The third proportional to 16,578,434.81 and 35,676,293.06 is: 76,774,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578,434.81 : 35,676,293.06 = 35,676,293.06 : x
  2. Step 2: Convert to fraction form
    16,578,434.81/35,676,293.06 = 35,676,293.06/x
  3. Step 3: Cross multiply
    16,578,434.81x = 35,676,293.06 × 35,676,293.06
  4. Step 4: Simplify right side
    16,578,434.81x = 1,272,797,886,681,385.75
  5. Step 5: Solve for x
    x = 1,272,797,886,681,385.75/16,578,434.81
  6. Step 6: Final answer
    x = 76,774,309.58

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