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Finding the Third Proportional to 37,283,265.75 and 81,020,117

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Solution

The third proportional to 37,283,265.75 and 81,020,117 is: 176,064,495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,283,265.75 : 81,020,117 = 81,020,117 : x
  2. Step 2: Convert to fraction form
    37,283,265.75/81,020,117 = 81,020,117/x
  3. Step 3: Cross multiply
    37,283,265.75x = 81,020,117 × 81,020,117
  4. Step 4: Simplify right side
    37,283,265.75x = 6,564,259,358,693,689
  5. Step 5: Solve for x
    x = 6,564,259,358,693,689/37,283,265.75
  6. Step 6: Final answer
    x = 176,064,495.07

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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.