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Finding the Third Proportional to 21,532,848.75 and 47,250,783

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Solution

The third proportional to 21,532,848.75 and 47,250,783 is: 103,685,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532,848.75 : 47,250,783 = 47,250,783 : x
  2. Step 2: Convert to fraction form
    21,532,848.75/47,250,783 = 47,250,783/x
  3. Step 3: Cross multiply
    21,532,848.75x = 47,250,783 × 47,250,783
  4. Step 4: Simplify right side
    21,532,848.75x = 2,232,636,494,113,089
  5. Step 5: Solve for x
    x = 2,232,636,494,113,089/21,532,848.75
  6. Step 6: Final answer
    x = 103,685,142.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.