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Finding the Third Proportional to 10,001,083 and 14,935,771.50

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Solution

The third proportional to 10,001,083 and 14,935,771.50 is: 22,305,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001,083 : 14,935,771.50 = 14,935,771.50 : x
  2. Step 2: Convert to fraction form
    10,001,083/14,935,771.50 = 14,935,771.50/x
  3. Step 3: Cross multiply
    10,001,083x = 14,935,771.50 × 14,935,771.50
  4. Step 4: Simplify right side
    10,001,083x = 223,077,270,300,212.25
  5. Step 5: Solve for x
    x = 223,077,270,300,212.25/10,001,083
  6. Step 6: Final answer
    x = 22,305,311.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.