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Finding the Third Proportional to 53,371,036.69 and 82,475,470.69

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Solution

The third proportional to 53,371,036.69 and 82,475,470.69 is: 127,451,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,371,036.69 : 82,475,470.69 = 82,475,470.69 : x
  2. Step 2: Convert to fraction form
    53,371,036.69/82,475,470.69 = 82,475,470.69/x
  3. Step 3: Cross multiply
    53,371,036.69x = 82,475,470.69 × 82,475,470.69
  4. Step 4: Simplify right side
    53,371,036.69x = 6,802,203,265,124,672
  5. Step 5: Solve for x
    x = 6,802,203,265,124,672/53,371,036.69
  6. Step 6: Final answer
    x = 127,451,211.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.