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Finding the Third Proportional to 19,752,024 and 47,579,688

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Solution

The third proportional to 19,752,024 and 47,579,688 is: 114,612,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752,024 : 47,579,688 = 47,579,688 : x
  2. Step 2: Convert to fraction form
    19,752,024/47,579,688 = 47,579,688/x
  3. Step 3: Cross multiply
    19,752,024x = 47,579,688 × 47,579,688
  4. Step 4: Simplify right side
    19,752,024x = 2,263,826,710,177,344
  5. Step 5: Solve for x
    x = 2,263,826,710,177,344/19,752,024
  6. Step 6: Final answer
    x = 114,612,391.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.