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Finding the Third Proportional to 38,497,576 and 85,602,288

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Solution

The third proportional to 38,497,576 and 85,602,288 is: 190,343,197.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497,576 : 85,602,288 = 85,602,288 : x
  2. Step 2: Convert to fraction form
    38,497,576/85,602,288 = 85,602,288/x
  3. Step 3: Cross multiply
    38,497,576x = 85,602,288 × 85,602,288
  4. Step 4: Simplify right side
    38,497,576x = 7,327,751,710,834,944
  5. Step 5: Solve for x
    x = 7,327,751,710,834,944/38,497,576
  6. Step 6: Final answer
    x = 190,343,197.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.