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Finding the Third Proportional to 5,194,071 and 7,762,035.94

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Solution

The third proportional to 5,194,071 and 7,762,035.94 is: 11,599,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194,071 : 7,762,035.94 = 7,762,035.94 : x
  2. Step 2: Convert to fraction form
    5,194,071/7,762,035.94 = 7,762,035.94/x
  3. Step 3: Cross multiply
    5,194,071x = 7,762,035.94 × 7,762,035.94
  4. Step 4: Simplify right side
    5,194,071x = 60,249,201,895,041.50
  5. Step 5: Solve for x
    x = 60,249,201,895,041.50/5,194,071
  6. Step 6: Final answer
    x = 11,599,610.77

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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.