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Finding the Third Proportional to 22,877,359.50 and 47,636,511

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Solution

The third proportional to 22,877,359.50 and 47,636,511 is: 99,191,394.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,877,359.50 : 47,636,511 = 47,636,511 : x
  2. Step 2: Convert to fraction form
    22,877,359.50/47,636,511 = 47,636,511/x
  3. Step 3: Cross multiply
    22,877,359.50x = 47,636,511 × 47,636,511
  4. Step 4: Simplify right side
    22,877,359.50x = 2,269,237,180,253,121
  5. Step 5: Solve for x
    x = 2,269,237,180,253,121/22,877,359.50
  6. Step 6: Final answer
    x = 99,191,394.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.