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Finding the Third Proportional to 5,148,009 and 7,712,077.50

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Solution

The third proportional to 5,148,009 and 7,712,077.50 is: 11,553,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148,009 : 7,712,077.50 = 7,712,077.50 : x
  2. Step 2: Convert to fraction form
    5,148,009/7,712,077.50 = 7,712,077.50/x
  3. Step 3: Cross multiply
    5,148,009x = 7,712,077.50 × 7,712,077.50
  4. Step 4: Simplify right side
    5,148,009x = 59,476,139,366,006.25
  5. Step 5: Solve for x
    x = 59,476,139,366,006.25/5,148,009
  6. Step 6: Final answer
    x = 11,553,231.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.