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Finding the Third Proportional to 7,827,045 and 10,815,217.50

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Solution

The third proportional to 7,827,045 and 10,815,217.50 is: 14,944,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827,045 : 10,815,217.50 = 10,815,217.50 : x
  2. Step 2: Convert to fraction form
    7,827,045/10,815,217.50 = 10,815,217.50/x
  3. Step 3: Cross multiply
    7,827,045x = 10,815,217.50 × 10,815,217.50
  4. Step 4: Simplify right side
    7,827,045x = 116,968,929,572,306.25
  5. Step 5: Solve for x
    x = 116,968,929,572,306.25/7,827,045
  6. Step 6: Final answer
    x = 14,944,200.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.