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Finding the Third Proportional to 66,375,508 and 103,893,678.75

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Solution

The third proportional to 66,375,508 and 103,893,678.75 is: 162,618,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,375,508 : 103,893,678.75 = 103,893,678.75 : x
  2. Step 2: Convert to fraction form
    66,375,508/103,893,678.75 = 103,893,678.75/x
  3. Step 3: Cross multiply
    66,375,508x = 103,893,678.75 × 103,893,678.75
  4. Step 4: Simplify right side
    66,375,508x = 10,793,896,484,208,202
  5. Step 5: Solve for x
    x = 10,793,896,484,208,202/66,375,508
  6. Step 6: Final answer
    x = 162,618,664.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.