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Finding the Third Proportional to 37,283,277.38 and 81,020,142

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Solution

The third proportional to 37,283,277.38 and 81,020,142 is: 176,064,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,283,277.38 : 81,020,142 = 81,020,142 : x
  2. Step 2: Convert to fraction form
    37,283,277.38/81,020,142 = 81,020,142/x
  3. Step 3: Cross multiply
    37,283,277.38x = 81,020,142 × 81,020,142
  4. Step 4: Simplify right side
    37,283,277.38x = 6,564,263,409,700,164
  5. Step 5: Solve for x
    x = 6,564,263,409,700,164/37,283,277.38
  6. Step 6: Final answer
    x = 176,064,548.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.