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Finding the Third Proportional to 5,523,984 and 11,815,543.50

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Solution

The third proportional to 5,523,984 and 11,815,543.50 is: 25,272,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523,984 : 11,815,543.50 = 11,815,543.50 : x
  2. Step 2: Convert to fraction form
    5,523,984/11,815,543.50 = 11,815,543.50/x
  3. Step 3: Cross multiply
    5,523,984x = 11,815,543.50 × 11,815,543.50
  4. Step 4: Simplify right side
    5,523,984x = 139,607,068,200,392.25
  5. Step 5: Solve for x
    x = 139,607,068,200,392.25/5,523,984
  6. Step 6: Final answer
    x = 25,272,895.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.