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Finding the Third Proportional to 22,001,832 and 47,829,271.50

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Solution

The third proportional to 22,001,832 and 47,829,271.50 is: 103,974,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,001,832 : 47,829,271.50 = 47,829,271.50 : x
  2. Step 2: Convert to fraction form
    22,001,832/47,829,271.50 = 47,829,271.50/x
  3. Step 3: Cross multiply
    22,001,832x = 47,829,271.50 × 47,829,271.50
  4. Step 4: Simplify right side
    22,001,832x = 2,287,639,212,220,712
  5. Step 5: Solve for x
    x = 2,287,639,212,220,712/22,001,832
  6. Step 6: Final answer
    x = 103,974,942.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.