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Finding the Third Proportional to 4,732,347 and 10,293,847.50

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Solution

The third proportional to 4,732,347 and 10,293,847.50 is: 22,391,277.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,347 : 10,293,847.50 = 10,293,847.50 : x
  2. Step 2: Convert to fraction form
    4,732,347/10,293,847.50 = 10,293,847.50/x
  3. Step 3: Cross multiply
    4,732,347x = 10,293,847.50 × 10,293,847.50
  4. Step 4: Simplify right side
    4,732,347x = 105,963,296,353,256.25
  5. Step 5: Solve for x
    x = 105,963,296,353,256.25/4,732,347
  6. Step 6: Final answer
    x = 22,391,277.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.