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Finding the Third Proportional to 4,972,569.75 and 10,710,285.75

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Solution

The third proportional to 4,972,569.75 and 10,710,285.75 is: 23,068,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,569.75 : 10,710,285.75 = 10,710,285.75 : x
  2. Step 2: Convert to fraction form
    4,972,569.75/10,710,285.75 = 10,710,285.75/x
  3. Step 3: Cross multiply
    4,972,569.75x = 10,710,285.75 × 10,710,285.75
  4. Step 4: Simplify right side
    4,972,569.75x = 114,710,220,846,653.06
  5. Step 5: Solve for x
    x = 114,710,220,846,653.06/4,972,569.75
  6. Step 6: Final answer
    x = 23,068,599.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.