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Finding the Third Proportional to 38,078,748 and 82,217,146.50

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Solution

The third proportional to 38,078,748 and 82,217,146.50 is: 177,517,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078,748 : 82,217,146.50 = 82,217,146.50 : x
  2. Step 2: Convert to fraction form
    38,078,748/82,217,146.50 = 82,217,146.50/x
  3. Step 3: Cross multiply
    38,078,748x = 82,217,146.50 × 82,217,146.50
  4. Step 4: Simplify right side
    38,078,748x = 6,759,659,178,602,462
  5. Step 5: Solve for x
    x = 6,759,659,178,602,462/38,078,748
  6. Step 6: Final answer
    x = 177,517,894.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.