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Finding the Third Proportional to 4,972,567.50 and 7,477,357.50

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Solution

The third proportional to 4,972,567.50 and 7,477,357.50 is: 11,243,864.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972,567.50 : 7,477,357.50 = 7,477,357.50 : x
  2. Step 2: Convert to fraction form
    4,972,567.50/7,477,357.50 = 7,477,357.50/x
  3. Step 3: Cross multiply
    4,972,567.50x = 7,477,357.50 × 7,477,357.50
  4. Step 4: Simplify right side
    4,972,567.50x = 55,910,875,182,806.25
  5. Step 5: Solve for x
    x = 55,910,875,182,806.25/4,972,567.50
  6. Step 6: Final answer
    x = 11,243,864.50

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