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Finding the Third Proportional to 21,792,124.50 and 47,835,232.50

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Solution

The third proportional to 21,792,124.50 and 47,835,232.50 is: 105,001,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,792,124.50 : 47,835,232.50 = 47,835,232.50 : x
  2. Step 2: Convert to fraction form
    21,792,124.50/47,835,232.50 = 47,835,232.50/x
  3. Step 3: Cross multiply
    21,792,124.50x = 47,835,232.50 × 47,835,232.50
  4. Step 4: Simplify right side
    21,792,124.50x = 2,288,209,468,329,056
  5. Step 5: Solve for x
    x = 2,288,209,468,329,056/21,792,124.50
  6. Step 6: Final answer
    x = 105,001,670.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.