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Finding the Third Proportional to 11,811,070.69 and 24,564,952.69

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Solution

The third proportional to 11,811,070.69 and 24,564,952.69 is: 51,090,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811,070.69 : 24,564,952.69 = 24,564,952.69 : x
  2. Step 2: Convert to fraction form
    11,811,070.69/24,564,952.69 = 24,564,952.69/x
  3. Step 3: Cross multiply
    11,811,070.69x = 24,564,952.69 × 24,564,952.69
  4. Step 4: Simplify right side
    11,811,070.69x = 603,436,900,539,113.50
  5. Step 5: Solve for x
    x = 603,436,900,539,113.50/11,811,070.69
  6. Step 6: Final answer
    x = 51,090,787.32

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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.